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Volume 13, 2020

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Volume 3, 2010

Volume 2, 2009

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Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Preface: Analysis of cross-diffusion systems
Michael Winkler and Dariusz Wrzosek
2020, 13(2) : ⅰ-ⅰ doi: 10.3934/dcdss.20202i +[Abstract](235) +[HTML](78) +[PDF](70.65KB)
Stabilization in a chemotaxis model for virus infection
Nicola Bellomo and Youshan Tao
2020, 13(2) : 105-117 doi: 10.3934/dcdss.2020006 +[Abstract](1385) +[HTML](742) +[PDF](354.23KB)
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
Tobias Black
2020, 13(2) : 119-137 doi: 10.3934/dcdss.2020007 +[Abstract](1517) +[HTML](694) +[PDF](386.35KB)
Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
Jan Burczak and Rafael Granero-Belinchón
2020, 13(2) : 139-164 doi: 10.3934/dcdss.2020008 +[Abstract](1271) +[HTML](752) +[PDF](498.7KB)
Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity
Tomasz Cieślak and Kentarou Fujie
2020, 13(2) : 165-176 doi: 10.3934/dcdss.2020009 +[Abstract](1108) +[HTML](635) +[PDF](297.05KB)
On a chemotaxis model with competitive terms arising in angiogenesis
Manuel Delgado, Inmaculada Gayte, Cristian Morales-Rodrigo and Antonio Suárez
2020, 13(2) : 177-202 doi: 10.3934/dcdss.2020010 +[Abstract](1134) +[HTML](625) +[PDF](459.58KB)
Global asymptotic stability in a chemotaxis-growth model for tumor invasion
Kentarou Fujie
2020, 13(2) : 203-209 doi: 10.3934/dcdss.2020011 +[Abstract](1443) +[HTML](661) +[PDF](311.1KB)
Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity
Sachiko Ishida and Tomomi Yokota
2020, 13(2) : 211-232 doi: 10.3934/dcdss.2020012 +[Abstract](1190) +[HTML](662) +[PDF](413.65KB)
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
Johannes Lankeit
2020, 13(2) : 233-255 doi: 10.3934/dcdss.2020013 +[Abstract](1200) +[HTML](636) +[PDF](395.32KB)
Decay in chemotaxis systems with a logistic term
Monica Marras, Stella Vernier-Piro and Giuseppe Viglialoro
2020, 13(2) : 257-268 doi: 10.3934/dcdss.2020014 +[Abstract](1179) +[HTML](657) +[PDF](319.45KB)
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Masaaki Mizukami
2020, 13(2) : 269-278 doi: 10.3934/dcdss.2020015 +[Abstract](1063) +[HTML](623) +[PDF](316.76KB)
On a Parabolic-ODE system of chemotaxis
Mihaela Negreanu and J. Ignacio Tello
2020, 13(2) : 279-292 doi: 10.3934/dcdss.2020016 +[Abstract](1195) +[HTML](697) +[PDF](337.92KB)
Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source
Rachidi B. Salako and Wenxian Shen
2020, 13(2) : 293-319 doi: 10.3934/dcdss.2020017 +[Abstract](1151) +[HTML](692) +[PDF](477.52KB)
On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion
Yilong Wang and Xuande Zhang
2020, 13(2) : 321-328 doi: 10.3934/dcdss.2020018 +[Abstract](1237) +[HTML](701) +[PDF](324.75KB)
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
Yulan Wang
2020, 13(2) : 329-349 doi: 10.3934/dcdss.2020019 +[Abstract](1178) +[HTML](766) +[PDF](436.64KB)
Fractional operators with boundary points dependent kernels and integration by parts
Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020020 +[Abstract](1167) +[HTML](526) +[PDF](454.87KB)
MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives
Kashif Ali Abro and Ilyas Khan
2019doi: 10.3934/dcdss.2020021 +[Abstract](1130) +[HTML](681) +[PDF](356.5KB)
Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method
Said Agoujil, Abderrahman Bouhamidi, Sofiya Chergui and Youssef Qaraai
2019doi: 10.3934/dcdss.2020022 +[Abstract](934) +[HTML](512) +[PDF](538.77KB)
New aspects of time fractional optimal control problems within operators with nonsingular kernel
Tuğba Akman Yıldız, Amin Jajarmi, Burak Yıldız and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020023 +[Abstract](1149) +[HTML](958) +[PDF](747.1KB)
A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel
Badr Saad T. Alkahtani and Ilknur Koca
2019doi: 10.3934/dcdss.2020024 +[Abstract](1019) +[HTML](513) +[PDF](360.58KB)
Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems
Amy Allwright and Abdon Atangana
2019doi: 10.3934/dcdss.2020025 +[Abstract](896) +[HTML](627) +[PDF](425.72KB)
Models of fluid flowing in non-conventional media: New numerical analysis
Abdon Atangana and Sonal Jain
2019doi: 10.3934/dcdss.2020026 +[Abstract](961) +[HTML](483) +[PDF](2802.07KB)
Generalized variational calculus in terms of multi-parameters involving Atangana-Baleanu's derivatives and application
G. M. Bahaa
2019doi: 10.3934/dcdss.2020027 +[Abstract](1070) +[HTML](643) +[PDF](388.75KB)
New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques
Necdet Bildik and Sinan Deniz
2019doi: 10.3934/dcdss.2020028 +[Abstract](1081) +[HTML](544) +[PDF](603.8KB)
Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function
Ebenezer Bonyah and Samuel Kwesi Asiedu
2019doi: 10.3934/dcdss.2020029 +[Abstract](998) +[HTML](568) +[PDF](639.18KB)
Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions
Mehar Chand, Jyotindra C. Prajapati, Ebenezer Bonyah and Jatinder Kumar Bansal
2019doi: 10.3934/dcdss.2020030 +[Abstract](1150) +[HTML](796) +[PDF](427.94KB)
A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel
Antonio Coronel-Escamilla and José Francisco Gómez-Aguilar
2019doi: 10.3934/dcdss.2020031 +[Abstract](1174) +[HTML](557) +[PDF](951.83KB)
Memorized relaxation with singular and non-singular memory kernels for basic relaxation of dielectric vis-à-vis Curie-von Schweidler & Kohlrausch relaxation laws
Shantanu Das
2019doi: 10.3934/dcdss.2020032 +[Abstract](1017) +[HTML](645) +[PDF](713.9KB)
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
Jean Daniel Djida, Juan J. Nieto and Iván Area
2019doi: 10.3934/dcdss.2020033 +[Abstract](1007) +[HTML](581) +[PDF](388.03KB)
Multi-directional and saturated chaotic attractors with many scrolls for fractional dynamical systems
Emile Franc Doungmo Goufo
2019doi: 10.3934/dcdss.2020034 +[Abstract](1164) +[HTML](492) +[PDF](843.78KB)
Dynamics of traveling waves of variable order hyperbolic Liouville equation: Regulation and control
Emile Franc Doungmo Goufo and Abdon Atangana
2019doi: 10.3934/dcdss.2020035 +[Abstract](1372) +[HTML](604) +[PDF](720.09KB)
Perturbations of Hindmarsh-Rose neuron dynamics by fractional operators: Bifurcation, firing and chaotic bursts
Emile Franc Doungmo Goufo, Melusi Khumalo and Patrick M. Tchepmo Djomegni
2019doi: 10.3934/dcdss.2020036 +[Abstract](964) +[HTML](640) +[PDF](949.96KB)
Analytical results on the unsteady rotational flow of fractional-order non-Newtonian fluids with shear stress on the boundary
Muhammad Mansha Ghalib, Azhar Ali Zafar, Zakia Hammouch, Muhammad Bilal Riaz and Khurram Shabbir
2019doi: 10.3934/dcdss.2020037 +[Abstract](1222) +[HTML](596) +[PDF](363.4KB)
Variational principles in the frame of certain generalized fractional derivatives
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020038 +[Abstract](1087) +[HTML](454) +[PDF](310.23KB)
Generalized fractional derivatives and Laplace transform
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020039 +[Abstract](1889) +[HTML](1193) +[PDF](336.84KB)
Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative
Fahd Jarad, Sugumaran Harikrishnan, Kamal Shah and Kuppusamy Kanagarajan
2019doi: 10.3934/dcdss.2020040 +[Abstract](1137) +[HTML](803) +[PDF](378.94KB)
Comparative study of fractional Fokker-Planck equations with various fractional derivative operators
Krunal B. Kachhia
2019doi: 10.3934/dcdss.2020041 +[Abstract](1109) +[HTML](526) +[PDF](843.15KB)
Extension of triple Laplace transform for solving fractional differential equations
Amir Khan, Asaf Khan, Tahir Khan and Gul Zaman
2019doi: 10.3934/dcdss.2020042 +[Abstract](1260) +[HTML](747) +[PDF](584.6KB)
Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating
Ilyas Khan, Muhammad Saqib and Aisha M. Alqahtani
2019doi: 10.3934/dcdss.2020043 +[Abstract](900) +[HTML](702) +[PDF](339.38KB)
Analysis of the Fitzhugh Nagumo model with a new numerical scheme
Jyoti Mishra
2019doi: 10.3934/dcdss.2020044 +[Abstract](1015) +[HTML](811) +[PDF](607.85KB)
Note on a $ k $-generalised fractional derivative
Ekta Mittal and Sunil Joshi
2019doi: 10.3934/dcdss.2020045 +[Abstract](1011) +[HTML](507) +[PDF](343.21KB)
Mathematical modeling approach to the fractional Bergman's model
Victor Fabian Morales-Delgado, José Francisco Gómez-Aguilar and Marco Antonio Taneco-Hernández
2019doi: 10.3934/dcdss.2020046 +[Abstract](1109) +[HTML](586) +[PDF](469.52KB)
Dynamical behaviour of fractional-order predator-prey system of Holling-type
Kolade M. Owolabi
2019doi: 10.3934/dcdss.2020047 +[Abstract](1053) +[HTML](586) +[PDF](973.98KB)
Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations
Kolade M. Owolabi and Edson Pindza
2019doi: 10.3934/dcdss.2020048 +[Abstract](1181) +[HTML](652) +[PDF](1350.42KB)
Fractional input stability and its application to neural network
Ndolane Sene
2019doi: 10.3934/dcdss.2020049 +[Abstract](1156) +[HTML](529) +[PDF](370.89KB)
Mittag-Leffler input stability of fractional differential equations and its applications
Ndolane Sene
2019doi: 10.3934/dcdss.2020050 +[Abstract](1184) +[HTML](621) +[PDF](344.45KB)
Inclusion of fading memory to Banister model of changes in physical condition
Mansour Shrahili, Ravi Shanker Dubey and Ahmed Shafay
2019doi: 10.3934/dcdss.2020051 +[Abstract](849) +[HTML](470) +[PDF](330.35KB)
European option valuation under the Bates PIDE in finance: A numerical implementation of the Gaussian scheme
Fazlollah Soleymani and Ali Akgül
2019doi: 10.3934/dcdss.2020052 +[Abstract](1009) +[HTML](555) +[PDF](1674.58KB)
Existence results of Hilfer integro-differential equations with fractional order
Ramasamy Subashini, Chokkalingam Ravichandran, Kasthurisamy Jothimani and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020053 +[Abstract](1535) +[HTML](681) +[PDF](445.32KB)
Optical solitons to the fractional perturbed NLSE in nano-fibers
Tukur Abdulkadir Sulaiman, Hasan Bulut and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020054 +[Abstract](945) +[HTML](679) +[PDF](1204.79KB)
A fractional model for the dynamics of tuberculosis (TB) using Atangana-Baleanu derivative
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq and Ebraheem O. Alzahrani
2019doi: 10.3934/dcdss.2020055 +[Abstract](1214) +[HTML](592) +[PDF](513.11KB)
A fractional order HBV model with hospitalization
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Taza Gul and Fawad Hussain
2019doi: 10.3934/dcdss.2020056 +[Abstract](1083) +[HTML](862) +[PDF](2536.42KB)
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Zakia Hammouch and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020057 +[Abstract](1254) +[HTML](852) +[PDF](543.36KB)
Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel
Mehmet Yavuz and Necati Özdemir
2019doi: 10.3934/dcdss.2020058 +[Abstract](1299) +[HTML](521) +[PDF](706.03KB)
MHD natural convection boundary-layer flow over a semi-infinite heated plate with arbitrary inclination
Azhar Ali Zafar, Khurram Shabbir, Asim Naseem and Muhammad Waqas Ashraf
2019doi: 10.3934/dcdss.2020059 +[Abstract](968) +[HTML](516) +[PDF](333.5KB)
Regional enlarged observability of Caputo fractional differential equations
Hayat Zouiten, Ali Boutoulout and Delfim F. M. Torres
2019doi: 10.3934/dcdss.2020060 +[Abstract](1061) +[HTML](469) +[PDF](348.83KB)
Bifurcation revisited along footprints of Jürgen Scheurle
Tassilo Küpper
2019doi: 10.3934/dcdss.2020061 +[Abstract](780) +[HTML](437) +[PDF](707.92KB)
A Galilean dance 1:2:4 resonant periodic motions and their librations of Jupiter and his Galilean moons
Henk W. Broer and Heinz Hanssmann
2019doi: 10.3934/dcdss.2020062 +[Abstract](799) +[HTML](464) +[PDF](632.73KB)
Time-minimum control of quantum purity for 2-level Lindblad equations
William Clark, Anthony Bloch, Leonardo Colombo and Patrick Rooney
2019doi: 10.3934/dcdss.2020063 +[Abstract](770) +[HTML](396) +[PDF](462.37KB)
Variational discretization of thermodynamical simple systems on Lie groups
Benjamin Couéraud and François Gay-Balmaz
2019doi: 10.3934/dcdss.2020064 +[Abstract](828) +[HTML](422) +[PDF](931.33KB)
Forward omega limit sets of nonautonomous dynamical systems
Hongyong Cui, Peter E. Kloeden and Meihua Yang
2019doi: 10.3934/dcdss.2020065 +[Abstract](903) +[HTML](432) +[PDF](341.1KB)
On Lie algebra actions
Richard H. Cushman and Jędrzej Śniatycki
2019doi: 10.3934/dcdss.2020066 +[Abstract](801) +[HTML](394) +[PDF](555.76KB)
Almost all 3-body relative equilibria on $ \mathbb S^2 $ and $ \mathbb H^2 $ are inclined
Florin Diacu and Shuqiang Zhu
2019doi: 10.3934/dcdss.2020067 +[Abstract](806) +[HTML](400) +[PDF](440.17KB)
Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay
Bernold Fiedler and Isabelle Schneider
2019doi: 10.3934/dcdss.2020068 +[Abstract](755) +[HTML](391) +[PDF](2270.43KB)
Self-organized clusters in diffusive run-and-tumble processes
Patrick Flynn, Quinton Neville and Arnd Scheel
2019doi: 10.3934/dcdss.2020069 +[Abstract](743) +[HTML](393) +[PDF](10714.4KB)
On the geometry of twisted prolongations, and dynamical systems
Giuseppe Gaeta
2019doi: 10.3934/dcdss.2020070 +[Abstract](732) +[HTML](413) +[PDF](481.51KB)
Predicting uncertainty in geometric fluid mechanics
François Gay-Balmaz and Darryl D. Holm
2019doi: 10.3934/dcdss.2020071 +[Abstract](917) +[HTML](433) +[PDF](403.56KB)
Sub-Riemannian geometry and finite time thermodynamics Part 1: The stochastic oscillator
Yunlong Huang and P. S. Krishnaprasad
2019doi: 10.3934/dcdss.2020072 +[Abstract](848) +[HTML](500) +[PDF](676.61KB)
Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem
Annalisa Iuorio, Christian Kuehn and Peter Szmolyan
2019doi: 10.3934/dcdss.2020073 +[Abstract](821) +[HTML](477) +[PDF](2008.08KB)
A survey of some aspects of dynamical topology: Dynamical compactness and Slovak spaces
Sergiĭ Kolyada
2019doi: 10.3934/dcdss.2020074 +[Abstract](961) +[HTML](446) +[PDF](3290.4KB)
Coordinate-independent criteria for Hopf bifurcations
Niclas Kruff and Sebastian Walcher
2019doi: 10.3934/dcdss.2020075 +[Abstract](686) +[HTML](390) +[PDF](442.32KB)
Nonautonomous gradient-like vector fields on the circle: Classification, structural stability and autonomization
Lev M. Lerman and Elena V. Gubina
2019doi: 10.3934/dcdss.2020076 +[Abstract](888) +[HTML](472) +[PDF](989.46KB)
Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity
Peter Poláčik and Darío A. Valdebenito
2019doi: 10.3934/dcdss.2020077 +[Abstract](751) +[HTML](390) +[PDF](505.52KB)
Effective Hamiltonian dynamics via the Maupertuis principle
Hartmut Schwetlick, Daniel C. Sutton and Johannes Zimmer
2019doi: 10.3934/dcdss.2020078 +[Abstract](780) +[HTML](398) +[PDF](368.57KB)
Henri Poincaré's neglected ideas
Ferdinand Verhulst
2019doi: 10.3934/dcdss.2020079 +[Abstract](754) +[HTML](410) +[PDF](1362.68KB)
An identification problem for a linear evolution equation in a banach space
Viorel Barbu and Gabriela Marinoschi
2019doi: 10.3934/dcdss.2020081 +[Abstract](574) +[HTML](321) +[PDF](296.18KB)
Precise estimates for biorthogonal families under asymptotic gap conditions
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble
2019doi: 10.3934/dcdss.2020082 +[Abstract](453) +[HTML](302) +[PDF](470.75KB)
Global existence for Laplace reaction-diffusion equations
Angelo Favini and Atsushi Yagi
2019doi: 10.3934/dcdss.2020083 +[Abstract](629) +[HTML](270) +[PDF](337.49KB)
Singular parabolic equations with interior degeneracy and non smooth coefficients: The Neumann case
Genni Fragnelli and Dimitri Mugnai
2019doi: 10.3934/dcdss.2020084 +[Abstract](529) +[HTML](296) +[PDF](399.63KB)
A generalized Cox-Ingersoll-Ross equation with growing initial conditions
Giséle Ruiz Goldstein, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2019doi: 10.3934/dcdss.2020085 +[Abstract](431) +[HTML](280) +[PDF](392.38KB)
Vector-valued Schrödinger operators in Lp-spaces
Markus Kunze, Abdallah Maichine and Abdelaziz Rhandi
2019doi: 10.3934/dcdss.2020086 +[Abstract](560) +[HTML](247) +[PDF](325.56KB)
Mean periodic solutions of a inhomogeneous heat equation with random coefficients
Galina Kurina and Vladimir Zadorozhniy
2019doi: 10.3934/dcdss.2020087 +[Abstract](536) +[HTML](309) +[PDF](231.2KB)
The Stokes problem in fractal domains: Asymptotic behaviour of the solutions
Maria Rosaria Lancia and Paola Vernole
2019doi: 10.3934/dcdss.2020088 +[Abstract](514) +[HTML](264) +[PDF](669.54KB)
Stability and errors analysis of two iterative schemes of fractional steps type associated to a nonlinear reaction-diffusion equation
Costică Moroşanu
2019doi: 10.3934/dcdss.2020089 +[Abstract](551) +[HTML](248) +[PDF](497.78KB)
Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory
Luciano Pandolfi
2019doi: 10.3934/dcdss.2020090 +[Abstract](458) +[HTML](253) +[PDF](237.34KB)
The hypoelliptic Robin problem for quasilinear elliptic equations
Kazuaki Taira
2019doi: 10.3934/dcdss.2020091 +[Abstract](686) +[HTML](282) +[PDF](349.68KB)
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
Yejuan Wang and Tomás Caraballo
doi: 10.3934/dcdss.2020092 +[Abstract](470) +[HTML](244) +[PDF](364.35KB)
Explicit investment setting in a Kaldor macroeconomic model with macro shock
Zhenzhen Wang, Zhenghui Li, Shuanglian Chen and Zhehao Huang
doi: 10.3934/dcdss.2020093 +[Abstract](468) +[HTML](249) +[PDF](742.17KB)
A linear optimal feedback control for producing 1, 3-propanediol via microbial fermentation
Honghan Bei, Lei Wang, Yanping Ma, Jing Sun and Liwei Zhang
2019doi: 10.3934/dcdss.2020095 +[Abstract](248) +[HTML](164) +[PDF](337.66KB)
Optimization model and solution method for dynamically correlated two-product newsvendor problems based on Copula
Songhai Deng, Zhong Wan and Yanjiu Zhou
2019doi: 10.3934/dcdss.2020096 +[Abstract](236) +[HTML](152) +[PDF](467.04KB)
A multi-stage method for joint pricing and inventory model with promotion constrains
Li Deng, Wenjie Bi, Haiying Liu and Kok Lay Teo
2019doi: 10.3934/dcdss.2020097 +[Abstract](253) +[HTML](222) +[PDF](520.17KB)
Time-scaling transformation for optimal control problem with time-varying delay
Di Wu, Yanqin Bai and Fusheng Xie
2019doi: 10.3934/dcdss.2020098 +[Abstract](269) +[HTML](139) +[PDF](302.74KB)
Time-delay optimal control of a fed-batch production involving multiple feeds
Chongyang Liu and Meijia Han
2019doi: 10.3934/dcdss.2020099 +[Abstract](264) +[HTML](146) +[PDF](277.3KB)
Optimal control of hybrid manufacturing systems by log-exponential smoothing aggregation
Kobamelo Mashaba, Jianxing Li, Honglei Xu and Xinhua Jiang
2019doi: 10.3934/dcdss.2020100 +[Abstract](225) +[HTML](134) +[PDF](264.24KB)
Earth pressure field modeling for tunnel face stability evaluation of EPB shield machines based on optimization solution
Yi An, Zhuohan Li, Changzhi Wu, Huosheng Hu, Cheng Shao and Bo Li
2019doi: 10.3934/dcdss.2020101 +[Abstract](261) +[HTML](151) +[PDF](2924.49KB)
Penalty method-based equilibrium point approach for solving the linear bilevel multiobjective programming problem
Yibing Lv, Tiesong Hu and Jianlin Jiang
2019doi: 10.3934/dcdss.2020102 +[Abstract](285) +[HTML](148) +[PDF](265.31KB)
An alternating minimization method for matrix completion problems
Yuan Shen and Xin Liu
2019doi: 10.3934/dcdss.2020103 +[Abstract](314) +[HTML](159) +[PDF](446.9KB)
A new iterative identification method for damping control of power system in multi-interference
Miao Yu, Haoyang Lu and Weipeng Shang
2019doi: 10.3934/dcdss.2020104 +[Abstract](223) +[HTML](134) +[PDF](597.13KB)
On evolution quasi-variational inequalities and implicit state-dependent sweeping processes
Samir Adly and Tahar Haddad
2019doi: 10.3934/dcdss.2020105 +[Abstract](273) +[HTML](169) +[PDF](286.85KB)
Stabilization of a discrete-time system via nonlinear impulsive control
Shaohong Fang, Jing Huang and Jinying Ma
2019doi: 10.3934/dcdss.2020106 +[Abstract](248) +[HTML](151) +[PDF](290.05KB)
An optimal pid tuning method for a single-link manipulator based on the control parametrization technique
Bin Li, Xiaolong Guo, Xiaodong Zeng, Songyi Dian and Minhua Guo
2019doi: 10.3934/dcdss.2020107 +[Abstract](273) +[HTML](142) +[PDF](377.23KB)
A time-scaling technique for time-delay switched systems
Linna Li, Changjun Yu, Ning Zhang, Yanqin Bai and Zhiyuan Gao
2019doi: 10.3934/dcdss.2020108 +[Abstract](282) +[HTML](188) +[PDF](375.2KB)
An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints
Canghua Jiang, Zhiqiang Guo, Xin Li, Hai Wang and Ming Yu
2019doi: 10.3934/dcdss.2020109 +[Abstract](306) +[HTML](168) +[PDF](422.28KB)
Design of green bonds by double-barrier options
Shuhua Zhang, Zhuo Yang and Song Wang
2019doi: 10.3934/dcdss.2020110 +[Abstract](299) +[HTML](162) +[PDF](474.31KB)
Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
George A. Anastassiou
2019doi: 10.3934/dcdss.2020111 +[Abstract](87) +[HTML](52) +[PDF](268.45KB)
A Zaremba-type criterion for hypoelliptic degenerate Ornstein–Uhlenbeck operators
Alessia E. Kogoj
2019doi: 10.3934/dcdss.2020112 +[Abstract](96) +[HTML](55) +[PDF](238.58KB)
Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity
Jibin Li and Yan Zhou
2019doi: 10.3934/dcdss.2020113 +[Abstract](113) +[HTML](141) +[PDF](1268.63KB)
Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation
Yixia Shi and Maoan Han
2019doi: 10.3934/dcdss.2020114 +[Abstract](99) +[HTML](57) +[PDF](364.31KB)
Bogdanov-Takens bifurcation in a SIRS epidemic model with a generalized nonmonotone incidence rate
Min Lu, Chuang Xiang and Jicai Huang
2019doi: 10.3934/dcdss.2020115 +[Abstract](96) +[HTML](66) +[PDF](663.07KB)
Global analysis of SIRI knowledge dissemination model with recalling rate
Fang Liu, Zhen Jin and Cai-Yun Wang
2019doi: 10.3934/dcdss.2020116 +[Abstract](101) +[HTML](66) +[PDF](2891.13KB)
Dynamical stabilization and traveling waves in integrodifference equations
Adèle Bourgeois, Victor LeBlanc and Frithjof Lutscher
2019doi: 10.3934/dcdss.2020117 +[Abstract](114) +[HTML](67) +[PDF](1235.66KB)
Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes
Guowei Dai, Alfonso Romero and Pedro J. Torres
2019doi: 10.3934/dcdss.2020118 +[Abstract](92) +[HTML](47) +[PDF](453.16KB)
Minimum energy compensation for discrete delayed systems with disturbances
Salma Souhaile and Larbi Afifi
2019doi: 10.3934/dcdss.2020119 +[Abstract](88) +[HTML](61) +[PDF](392.32KB)
A fractional-order delay differential model with optimal control for cancer treatment based on synergy between anti-angiogenic and immune cell therapies
Nasser Sweilam, Fathalla Rihan and Seham AL-Mekhlafi
2019doi: 10.3934/dcdss.2020120 +[Abstract](148) +[HTML](80) +[PDF](633.8KB)
First integrals of Hamiltonian systems: The inverse problem
Rehana Naz, Fazal M Mahomed and Azam Chaudhry
2019doi: 10.3934/dcdss.2020121 +[Abstract](106) +[HTML](60) +[PDF](275.3KB)
Exact solutions of a Black-Scholes model with time-dependent parameters by utilizing potential symmetries
Rehana Naz and Imran Naeem
2019doi: 10.3934/dcdss.2020122 +[Abstract](103) +[HTML](55) +[PDF](289.93KB)
Wave-propagation in an incompressible hollow elastic cylinder with residual stress
Moniba Shams
2019doi: 10.3934/dcdss.2020123 +[Abstract](106) +[HTML](57) +[PDF](497.24KB)
On the optimal coefficient control in a heat equation
Seda İǧret Araz and Murat Subașı
2019doi: 10.3934/dcdss.2020124 +[Abstract](126) +[HTML](53) +[PDF](392.72KB)
On the new wave solutions to the Wu-Zhang system by expansion methods
Tolga Aktürk
2019doi: 10.3934/dcdss.2020125 +[Abstract](116) +[HTML](179) +[PDF](1966.41KB)
Modified bidomain model with passive periodic heterogeneities
Yves Coudière, Anđela Davidović and Clair Poignard
2019doi: 10.3934/dcdss.2020126 +[Abstract](214) +[HTML](120) +[PDF](833.13KB)
Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball
Alfonso Castro and Shu-Zhi Song
2019doi: 10.3934/dcdss.2020127 +[Abstract](73) +[HTML](35) +[PDF](321.35KB)
Operators of order 2$ n $ with interior degeneracy
Genni Fragnelli, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2019doi: 10.3934/dcdss.2020128 +[Abstract](62) +[HTML](31) +[PDF](321.59KB)
Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system
Hongyong Zhao and Daiyong Wu
2019doi: 10.3934/dcdss.2020129 +[Abstract](63) +[HTML](28) +[PDF](301.58KB)
Bogdanov-Takens bifurcation in predator-prey systems
Bing Zeng, Shengfu Deng and Pei Yu
2019doi: 10.3934/dcdss.2020130 +[Abstract](108) +[HTML](31) +[PDF](326.42KB)
Stability analysis of an equation with two delays and application to the production of platelets
Loïs Boullu, Laurent Pujo-Menjouet and Jacques Bélair
2019doi: 10.3934/dcdss.2020131 +[Abstract](112) +[HTML](44) +[PDF](1052.73KB)
Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator
Dingyong Bai, Jianshe Yu and Yun Kang
2019doi: 10.3934/dcdss.2020132 +[Abstract](64) +[HTML](34) +[PDF](1193.14KB)
Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory
Shanshan Liu and Maoan Han
2019doi: 10.3934/dcdss.2020133 +[Abstract](57) +[HTML](41) +[PDF](311.59KB)
Dirichlet problem for a diffusive logistic population model with two delays
Xuejun Pan, Hongying Shu and Yuming Chen
2019doi: 10.3934/dcdss.2020134 +[Abstract](74) +[HTML](40) +[PDF](458.67KB)
Bifurcation and stability analysis for a nutrient-phytoplankton model with toxic effects
Juping Ji and Lin Wang
2019doi: 10.3934/dcdss.2020135 +[Abstract](59) +[HTML](30) +[PDF](752.7KB)
Oscillation criteria for second-order quasi-linear neutral functional differential equation
Osama Moaaz and Omar Bazighifan
2019doi: 10.3934/dcdss.2020136 +[Abstract](72) +[HTML](33) +[PDF](259.52KB)
Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays
Udhayakumar Kandasamy and Rakkiyappan Rajan
2019doi: 10.3934/dcdss.2020137 +[Abstract](87) +[HTML](41) +[PDF](1775.59KB)
Controllability analysis of nonlinear fractional order differential systems with state delay and non-instantaneous impulsive effects
Baskar Sundaravadivoo
2019doi: 10.3934/dcdss.2020138 +[Abstract](72) +[HTML](95) +[PDF](329.09KB)
Green function's properties and existence theorems for nonlinear singular-delay-fractional differential equations
Hasib Khan, Cemil Tunc and Aziz Khan
2019doi: 10.3934/dcdss.2020139 +[Abstract](80) +[HTML](37) +[PDF](388.69KB)
Dynamics of a model of tumor-immune interaction with time delay and noise
Lifeng Han, Changhan He and Yang Kuang
2019doi: 10.3934/dcdss.2020140 +[Abstract](82) +[HTML](30) +[PDF](732.29KB)
Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays
Nikolay Pertsev, Konstantin Loginov and Gennady Bocharov
2019doi: 10.3934/dcdss.2020141 +[Abstract](80) +[HTML](35) +[PDF](534.9KB)
Heat transfer and entropy analysis of Maxwell hybrid nanofluid including effects of inclined magnetic field, Joule heating and thermal radiation
Asim Aziz, Wasim Jamshed, Yasir Ali and Moniba Shams
2019doi: 10.3934/dcdss.2020142 +[Abstract](73) +[HTML](45) +[PDF](1471.91KB)
Numerical treatment of Gray-Scott model with operator splitting method
Berat Karaagac
2019doi: 10.3934/dcdss.2020143 +[Abstract](97) +[HTML](37) +[PDF](598.74KB)
Mathematical model of diabetes and its complication involving fractional operator without singular kernal
Ravi Shanker Dubey and Pranay Goswami
2019doi: 10.3934/dcdss.2020144 +[Abstract](71) +[HTML](49) +[PDF](558.45KB)
System response of an alcoholism model under the effect of immigration via non-singular kernel derivative
Fırat Evirgen, Sümeyra Uçar, Necati Özdemir and Zakia Hammouch
2019doi: 10.3934/dcdss.2020145 +[Abstract](86) +[HTML](59) +[PDF](428.13KB)
Solving the time-fractional Schrodinger equation with the group preserving scheme
Mohammad Parto-haghighi, Mustafa Inc, Mustafa Bayram and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020146 +[Abstract](88) +[HTML](41) +[PDF](926.7KB)
A priori estimates for elliptic problems via Liouville type theorems
Laura Baldelli and Roberta Filippucci
2019doi: 10.3934/dcdss.2020148 +[Abstract](90) +[HTML](47) +[PDF](321.26KB)
Evolution fractional differential problems with impulses and nonlocal conditions
Irene Benedetti, Valeri Obukhovskii and Valentina Taddei
2019doi: 10.3934/dcdss.2020149 +[Abstract](71) +[HTML](40) +[PDF](399.62KB)
Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions
Alberto Boscaggin, Francesca Colasuonno and Benedetta Noris
2019doi: 10.3934/dcdss.2020150 +[Abstract](69) +[HTML](38) +[PDF](466.69KB)
Positive solutions for some generalized $ p $–Laplacian type problems
Anna Maria Candela and Addolorata Salvatore
2019doi: 10.3934/dcdss.2020151 +[Abstract](65) +[HTML](46) +[PDF](338.54KB)
Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result
Tiziana Cardinali and Paola Rubbioni
2019doi: 10.3934/dcdss.2020152 +[Abstract](102) +[HTML](32) +[PDF](265.37KB)
Remarks on mean curvature flow solitons in warped products
Giulio Colombo, Luciano Mari and Marco Rigoli
2019doi: 10.3934/dcdss.2020153 +[Abstract](79) +[HTML](35) +[PDF](483.01KB)
Schrödinger–Kirchhoff–Hardy $ p $–fractional equations without the Ambrosetti–Rabinowitz condition
Alessio Fiscella
2019doi: 10.3934/dcdss.2020154 +[Abstract](81) +[HTML](32) +[PDF](395.87KB)
Regularity under general and $ p,q- $ growth conditions
Paolo Marcellini
2019doi: 10.3934/dcdss.2020155 +[Abstract](64) +[HTML](61) +[PDF](425.6KB)
On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions
Monica Marras, Nicola Pintus and Giuseppe Viglialoro
2019doi: 10.3934/dcdss.2020156 +[Abstract](69) +[HTML](32) +[PDF](526.23KB)
A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term
Monica Marras and Stella Vernier-Piro
2019doi: 10.3934/dcdss.2020157 +[Abstract](63) +[HTML](34) +[PDF](272.77KB)
Combined effects for non-autonomous singular biharmonic problems
Vicenţiu D. Rădulescu and Dušan D. Repovš
2019doi: 10.3934/dcdss.2020158 +[Abstract](76) +[HTML](45) +[PDF](344.38KB)
Variational analysis for nonlocal Yamabe-type systems
Mingqi Xiang, Giovanni Molica Bisci and Binlin Zhang
2019doi: 10.3934/dcdss.2020159 +[Abstract](78) +[HTML](56) +[PDF](424.08KB)
Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy
Qiang Lin, Xueteng Tian, Runzhang Xu and Meina Zhang
2019doi: 10.3934/dcdss.2020160 +[Abstract](115) +[HTML](71) +[PDF](372.0KB)
Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients
Jacek Banasiak
2019doi: 10.3934/dcdss.2020161 +[Abstract](27) +[HTML](20) +[PDF](290.54KB)
Bifurcations in a pollination-mutualism system with nectarless flowers
Hong Wu, Shan Sun and Yuanshi Wang
2019doi: 10.3934/dcdss.2020162 +[Abstract](25) +[HTML](21) +[PDF](340.92KB)
Pest control by generalist parasitoids: A bifurcation theory approach
Gunog Seo and Gail S. K. Wolkowicz
2019doi: 10.3934/dcdss.2020163 +[Abstract](37) +[HTML](39) +[PDF](784.46KB)
Functionally-fitted block $ \theta $-methods for ordinary differential equations
Jingwen Wu, Jintao Hu and Hongjiong Tian
2019doi: 10.3934/dcdss.2020164 +[Abstract](30) +[HTML](26) +[PDF](321.76KB)
Numerical continuation and delay equations: A novel approach for complex models of structured populations
Alessia Andò, Dimitri Breda and Francesca Scarabel
2019doi: 10.3934/dcdss.2020165 +[Abstract](23) +[HTML](21) +[PDF](459.88KB)
Bistability analysis of virus infection models with time delays
Yuri Nechepurenko, Michael Khristichenko, Dmitry Grebennikov and Gennady Bocharov
2019doi: 10.3934/dcdss.2020166 +[Abstract](31) +[HTML](27) +[PDF](380.01KB)
A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation
Yufeng Zhang, Wen-Xiu Ma and Jin-Yun Yang
2019doi: 10.3934/dcdss.2020167 +[Abstract](29) +[HTML](40) +[PDF](369.03KB)
Numerical study of an influenza epidemic dynamical model with diffusion
Mudassar Imran, Mohamed Ben-Romdhane, Ali R. Ansari and Helmi Temimi
2019doi: 10.3934/dcdss.2020168 +[Abstract](23) +[HTML](19) +[PDF](4173.22KB)
A study of a generalized first extended (3+1)-dimensional Jimbo-Miwa equation
Chaudry Masood Khalique and Letlhogonolo Daddy Moleleki
2019doi: 10.3934/dcdss.2020169 +[Abstract](10) +[HTML](12) +[PDF](259.62KB)
On sufficiency issues, first integrals and exact solutions of Uzawa-Lucas model with unskilled labor
Rehana Naz
2019doi: 10.3934/dcdss.2020170 +[Abstract](25) +[HTML](23) +[PDF](423.72KB)
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators
Raziye Mert, Thabet Abdeljawad and Allan Peterson
2019doi: 10.3934/dcdss.2020171 +[Abstract](31) +[HTML](44) +[PDF](392.61KB)
Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel
Krunal B. Kachhia and Abdon Atangana
2019doi: 10.3934/dcdss.2020172 +[Abstract](41) +[HTML](21) +[PDF](290.03KB)
Fractional diffusion equation described by the Atangana-Baleanu fractional derivative and its approximate solution
Ndolane Sene
2019doi: 10.3934/dcdss.2020173 +[Abstract](39) +[HTML](25) +[PDF](289.29KB)
An improved fuzzy linear weighting method of multi-objective programming problems and its application
Zixue Guo, Fengxuan Song and Yumeng Zheng
2019doi: 10.3934/dcdss.2020175 +[Abstract](36) +[HTML](27) +[PDF](304.19KB)
A novel model for the contamination of a system of three artificial lakes
Veysel Fuat Hatipoğlu
2019doi: 10.3934/dcdss.2020176 +[Abstract](34) +[HTML](19) +[PDF](3352.88KB)
Bounded perturbation for evolution equations with a parameter & application to population dynamics
Emile Franc Doungmo Goufo
2019doi: 10.3934/dcdss.2020177 +[Abstract](28) +[HTML](18) +[PDF](628.14KB)
Existence and uniqueness results for a smoking model with determination and education in the frame of non-singular derivatives
Sümeyra Uçar
2019doi: 10.3934/dcdss.2020178 +[Abstract](57) +[HTML](34) +[PDF](586.06KB)
Prey-predator model with nonlocal and global consumption in the prey dynamics
Malay Banerjee, Nayana Mukherjee and Vitaly Volpert
2019doi: 10.3934/dcdss.2020180 +[Abstract](88) +[HTML](32) +[PDF](767.05KB)
From conservative to dissipative non-linear differential systems. An application to the cardio-respiratory regulation
Jacques Demongeot, Dan Istrate, Hajer Khlaifi, Lucile Mégret, Carla Taramasco and René Thomas
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The stability analysis of brain lactate kinetics
Jean-Pierre Françoise and Hongjun Ji
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Gevrey solutions of singularly perturbed differential equations, an extension to the non-autonomous case
Lucile Mégret and Jacques Demongeot
2019doi: 10.3934/dcdss.2020183 +[Abstract](89) +[HTML](41) +[PDF](363.42KB)
What mathematical models can or cannot do in glioma description and understanding
Angélique Perrillat-Mercerot, Alain Miranville, Nicolas Bourmeyster, Carole Guillevin, Mathieu Naudin and Rémy Guillevin
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Paradoxes of vulnerability to predation in biological dynamics and mediate versus immediate causality
Evariste Sanchez-Palencia and Philippe Lherminier
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Global-in-time Gevrey regularity solutions for the functionalized Cahn-Hilliard equation
Kelong Cheng, Cheng Wang, Steven M. Wise and Zixia Yuan
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Fractional Cauchy problems and applications
Mohammed AL Horani, Mauro Fabrizio, Angelo Favini and Hiroki Tanabe
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Well-posedness of a one-dimensional nonlinear kinematic hardening model
David Melching and Ulisse Stefanelli
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Polarization dynamics in a resonant optical medium with initial coherence between degenerate states
Katherine A. Newhall, Gregor Kovačič and Ildar Gabitov
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Stability of the heat and of the wave equations with boundary time-varying delays
Serge Nicaise, Julie Valein and Emilia Fridman
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Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
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Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha and Daniel Toundykov
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Non-autonomous attractors for integro-differential evolution equations
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A new finite element scheme for Landau-Lifchitz equations
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New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
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Generalised class of Time Fractional Black Scholes equation and numerical analysis
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