American Institute of Mathematical Sciences

August  2015, 20(6): i-iii. doi: 10.3934/dcdsb.2015.20.6i

Preface

 1 Department of Mathematics, The University of Miami, Coral Gables, FL 33124 2 Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300 3 Department of Mathematics, Mathematical Bioscience Institute, Ohio State University, Columbus, Ohio 43210 4 Department of Mathematics, The University of Miami, P.O. Box 249085, Coral Gables, Florida 33124

Published  June 2015

The movement and dispersal of organisms have long been recognized as key components of ecological interactions and as such, they have figured prominently in mathematical models in ecology. More recently, dispersal has been recognized as an equally important consideration in epidemiology and in environmental science. Recognizing the increasing utility of employing mathematics to understand the role of movement and dispersal in ecology, epidemiology and environmental science, The University of Miami in December 2012 held a workshop entitled Everything Disperses to Miami: The Role of Movement and Dispersal in Ecology, Epidemiology and Environmental Science" (EDM).

Citation: Robert Stephen Cantrell, Suzanne Lenhart, Yuan Lou, Shigui Ruan. Preface. Discrete and Continuous Dynamical Systems - B, 2015, 20 (6) : i-iii. doi: 10.3934/dcdsb.2015.20.6i
References:
 [1] D. Chan, M. McCombs, S. Boegner, H. J. Ban and S. Robertson, Extinction in discrete, competitive multi-species patch models, Discrete and Continuous Dynamical Systems B, 20 (2015), 1583-1590. [2] C. Cosner and A. Nevai, Spatial population dynamics in a producer-scrounger model, Discrete and Continuous Dynamical Systems B, 20 (2015), 1591-1607. [3] G. Dai, R. Ma, H. Wang, F. Wang and K. Xu, Partial differential equations with Robin boundary conditions in online social networks, Discrete and Continuous Dynamical Systems B, 20 (2015), 1609-1624. [4] T. Galanthay, Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model, Discrete and Continuous Dynamical Systems B, 20 (2015), 1625-1638. [5] C. C. Horvitz, A. Kop and K. D. Erickson, Time-invariant and stochastic disperser-structured matrix models: Invasion rates of a fleshly-fruited exotic species, Discrete and Continuous Dynamical Systems B, 20 (2015), 1639-1662. [6] C. Hu, Y. Kuang, B. Li and H. Liu, Spreading speeds and traveling wave solutions in cooperative integral-differential systems, Discrete and Continuous Dynamical Systems B, 20 (2015), 1663-1684. [7] X. Huo, Modeling of contact tracing in epidemic populations structured by disease age, Discrete and Continuous Dynamical Systems B, 20 (2015), 1685-1713. [8] W. Ko, I. Ahn and S. Liu, Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay, Discrete and Continuous Dynamical Systems B, 20 (2015), 1715-1733. [9] Z. Liu, H. Tang and P. Magal, Hopf bifurcation for a spatially and age structured population dynamics, Discrete and Continuous Dynamical Systems B, 20 (2015), 1735-1757. [10] M. V. Martinez, S. Lenhart and K. A. J. White, Optimal control of integrodifference equations in a pest-pathogen system, Discrete and Continuous Dynamical Systems B, 20 (2015), 1759-1783. [11] G. Nadin, How does the spreading speed associated with the KPP-Fisher equation depend on random stationary diffusion and reaction terms?, Discrete and Continuous Dynamical Systems B, 20 (2015), 1785-1803. [12] L. Wang, H. Jiang and Y. Li, Positive steady state solutions of a plant-pollinator model with diffusion, Discrete and Continuous Dynamical Systems B, 20 (2015), 1805-1819. [13] Y. Wang and D. Zhou, Transversality for time-periodic competitive-cooperative tridiagonal systems, Discrete and Continuous Dynamical Systems B, 20 (2015), 1821-1830. [14] L. Zhang and Z.-C.Wang, Spatial dynamics of a diffusive predator-prey model with stage structure, Discrete and Continuous Dynamical Systems B, 20 (2015), 1831-1853.

show all references

References:
 [1] D. Chan, M. McCombs, S. Boegner, H. J. Ban and S. Robertson, Extinction in discrete, competitive multi-species patch models, Discrete and Continuous Dynamical Systems B, 20 (2015), 1583-1590. [2] C. Cosner and A. Nevai, Spatial population dynamics in a producer-scrounger model, Discrete and Continuous Dynamical Systems B, 20 (2015), 1591-1607. [3] G. Dai, R. Ma, H. Wang, F. Wang and K. Xu, Partial differential equations with Robin boundary conditions in online social networks, Discrete and Continuous Dynamical Systems B, 20 (2015), 1609-1624. [4] T. Galanthay, Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model, Discrete and Continuous Dynamical Systems B, 20 (2015), 1625-1638. [5] C. C. Horvitz, A. Kop and K. D. Erickson, Time-invariant and stochastic disperser-structured matrix models: Invasion rates of a fleshly-fruited exotic species, Discrete and Continuous Dynamical Systems B, 20 (2015), 1639-1662. [6] C. Hu, Y. Kuang, B. Li and H. Liu, Spreading speeds and traveling wave solutions in cooperative integral-differential systems, Discrete and Continuous Dynamical Systems B, 20 (2015), 1663-1684. [7] X. Huo, Modeling of contact tracing in epidemic populations structured by disease age, Discrete and Continuous Dynamical Systems B, 20 (2015), 1685-1713. [8] W. Ko, I. Ahn and S. Liu, Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay, Discrete and Continuous Dynamical Systems B, 20 (2015), 1715-1733. [9] Z. Liu, H. Tang and P. Magal, Hopf bifurcation for a spatially and age structured population dynamics, Discrete and Continuous Dynamical Systems B, 20 (2015), 1735-1757. [10] M. V. Martinez, S. Lenhart and K. A. J. White, Optimal control of integrodifference equations in a pest-pathogen system, Discrete and Continuous Dynamical Systems B, 20 (2015), 1759-1783. [11] G. Nadin, How does the spreading speed associated with the KPP-Fisher equation depend on random stationary diffusion and reaction terms?, Discrete and Continuous Dynamical Systems B, 20 (2015), 1785-1803. [12] L. Wang, H. Jiang and Y. Li, Positive steady state solutions of a plant-pollinator model with diffusion, Discrete and Continuous Dynamical Systems B, 20 (2015), 1805-1819. [13] Y. Wang and D. Zhou, Transversality for time-periodic competitive-cooperative tridiagonal systems, Discrete and Continuous Dynamical Systems B, 20 (2015), 1821-1830. [14] L. Zhang and Z.-C.Wang, Spatial dynamics of a diffusive predator-prey model with stage structure, Discrete and Continuous Dynamical Systems B, 20 (2015), 1831-1853.
 [1] Christian Kanzow, Dong-Hui Li, Nobuo Yamashita. Preface. Numerical Algebra, Control and Optimization, 2011, 1 (1) : i-v. doi: 10.3934/naco.2011.1.1i [2] Thorsten Koch, Xiaoling Sun. Preface. Numerical Algebra, Control and Optimization, 2012, 2 (4) : i-ii. doi: 10.3934/naco.2012.2.4i [3] Eduard Feireisl, Josef Málek, Mirko Rokyta. Preface. Discrete and Continuous Dynamical Systems - S, 2010, 3 (3) : i-ii. doi: 10.3934/dcdss.2010.3.3i [4] Eduard Feireisl, Mirko Rokyta, Josef Málek. Preface. Discrete and Continuous Dynamical Systems - S, 2008, 1 (3) : i-iii. doi: 10.3934/dcdss.2008.1.3i [5] Iván Area, Alberto Cabada, José Ángel Cid, Daniel Franco, Eduardo Liz, Rosana Rodríguez-López. Preface. Discrete and Continuous Dynamical Systems - B, 2020, 25 (2) : i-iv. doi: 10.3934/dcdsb.2019269 [6] Carlos Castillo-Chavez, Gerardo Chowell. Preface. Mathematical Biosciences & Engineering, 2011, 8 (1) : i-vi. doi: 10.3934/mbe.2011.8.1i [7] P. De Maesschalck, Freddy Dumortier, Martin Wechselberger. Preface. Discrete and Continuous Dynamical Systems - S, 2009, 2 (4) : i-iii. doi: 10.3934/dcdss.2009.2.4i [8] Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel. Preface. Discrete and Continuous Dynamical Systems - B, 2014, 19 (8) : i-ii. doi: 10.3934/dcdsb.2014.19.8i [9] Chaudry Masood Khalique, Maria Luz Gandarais, Mufid Abudiab. Preface. Discrete and Continuous Dynamical Systems - S, 2018, 11 (4) : i-ii. doi: 10.3934/dcdss.201804i [10] Zhouping Xin, Tong Yang. Preface. Discrete and Continuous Dynamical Systems - S, 2016, 9 (6) : i-ii. doi: 10.3934/dcdss.201606i [11] Zhaosheng Feng, Wei Feng. Preface. Discrete and Continuous Dynamical Systems - S, 2014, 7 (6) : i-i. doi: 10.3934/dcdss.2014.7.6i [12] Cheng-Chew Lim, Song Wang. Preface. Journal of Industrial and Management Optimization, 2008, 4 (1) : i-ii. doi: 10.3934/jimo.2008.4.1i [13] Vadim Kaloshin, Sergey Lototsky, Michael Röckner. Preface. Discrete and Continuous Dynamical Systems - B, 2006, 6 (4) : i-ii. doi: 10.3934/dcdsb.2006.6.4i [14] Wei Kang, Liang Ke, Qi Wang. Preface. Discrete and Continuous Dynamical Systems - B, 2007, 8 (3) : i-i. doi: 10.3934/dcdsb.2007.8.3i [15] Noureddine Alaa, Marc Dambrine, Antoine Henrot, Alain Miranville. Preface. Communications on Pure and Applied Analysis, 2012, 11 (6) : i-ii. doi: 10.3934/cpaa.2012.11.6i [16] Shengji Li, Nan-Jing Huang, Xinmin Yang. Preface. Numerical Algebra, Control and Optimization, 2011, 1 (3) : i-ii. doi: 10.3934/naco.2011.1.3i [17] Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska, Zuzanna Szymanska. Preface. Mathematical Biosciences & Engineering, 2017, 14 (1) : i-i. doi: 10.3934/mbe.201701i [18] Baojun Bian, Shanjian Tang, Qi Zhang. Preface. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : i-iv. doi: 10.3934/dcds.2015.35.11i [19] Zhaosheng Feng, Jinzhi Lei. Preface. Discrete and Continuous Dynamical Systems - B, 2011, 16 (2) : i-iv. doi: 10.3934/dcdsb.2011.16.2i [20] Frédéric Coquel, Edwige Godlewski, Jean-Marc Hérard, Jacques Segré. Preface. Networks and Heterogeneous Media, 2010, 5 (3) : i-ii. doi: 10.3934/nhm.2010.5.3i

2021 Impact Factor: 1.497