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Modeling HIV outbreaks: The male to female prevalence ratio in the core population
1.  Department of Mathematics, Richard Stockton College of New Jersey, Pomona, NJ 08240, United States 
2.  Departments of Mathematics & Physics, University of Maryland, College Park, MD 20742, United States 
[1] 
Luis F. Gordillo, Stephen A. Marion, Priscilla E. Greenwood. The effect of patterns of infectiousness on epidemic size. Mathematical Biosciences & Engineering, 2008, 5 (3) : 429435. doi: 10.3934/mbe.2008.5.429 
[2] 
Shunxiang Huang, Lin Wu, Jing Li, MingZhen Xin, Yingying Wang, Xingjie Hao, Zhongyi Wang, Qihong Deng, BinGuo Wang. Transmission dynamics and high infectiousness of Coronavirus Disease 2019. Communications on Pure and Applied Analysis, , () : . doi: 10.3934/cpaa.2021155 
[3] 
A. K. Misra, Gauri Agrawal, Kusum Lata. Modeling the influence of human population and human population augmented pollution on rainfall. Discrete and Continuous Dynamical Systems  B, 2022, 27 (6) : 29793003. doi: 10.3934/dcdsb.2021169 
[4] 
Bertrand Lods. Variational characterizations of the effective multiplication factor of a nuclear reactor core. Kinetic and Related Models, 2009, 2 (2) : 307331. doi: 10.3934/krm.2009.2.307 
[5] 
Chunlai Mu, Jun Zhou, Yuhuan Li. Fast rate of dead core for fast diffusion equation with strong absorption. Communications on Pure and Applied Analysis, 2010, 9 (2) : 397411. doi: 10.3934/cpaa.2010.9.397 
[6] 
Song Liang, Yuan Lou. On the dependence of population size upon random dispersal rate. Discrete and Continuous Dynamical Systems  B, 2012, 17 (8) : 27712788. doi: 10.3934/dcdsb.2012.17.2771 
[7] 
Marius Cocou. A dynamic viscoelastic problem with friction and ratedepending contact interactions. Evolution Equations and Control Theory, 2020, 9 (4) : 981993. doi: 10.3934/eect.2020060 
[8] 
Cruz VargasDeLeón, Alberto d'Onofrio. Global stability of infectious disease models with contact rate as a function of prevalence index. Mathematical Biosciences & Engineering, 2017, 14 (4) : 10191033. doi: 10.3934/mbe.2017053 
[9] 
Zhilei Liang. Convergence rate of solutions to the contact discontinuity for the compressible NavierStokes equations. Communications on Pure and Applied Analysis, 2013, 12 (5) : 19071926. doi: 10.3934/cpaa.2013.12.1907 
[10] 
Najat Ziyadi. A malefemale mathematical model of human papillomavirus (HPV) in African American population. Mathematical Biosciences & Engineering, 2017, 14 (1) : 339358. doi: 10.3934/mbe.2017022 
[11] 
Z. Jackiewicz, B. ZubikKowal, B. Basse. Finitedifference and pseudospectral methods for the numerical simulations of in vitro human tumor cell population kinetics. Mathematical Biosciences & Engineering, 2009, 6 (3) : 561572. doi: 10.3934/mbe.2009.6.561 
[12] 
TzyWei Hwang, FengBin Wang. Dynamics of a dengue fever transmission model with crowding effect in human population and spatial variation. Discrete and Continuous Dynamical Systems  B, 2013, 18 (1) : 147161. doi: 10.3934/dcdsb.2013.18.147 
[13] 
Zhaohui Yuan, Xingfu Zou. Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Mathematical Biosciences & Engineering, 2013, 10 (2) : 483498. doi: 10.3934/mbe.2013.10.483 
[14] 
Suqi Ma, Qishao Lu, Shuli Mei. Dynamics of a logistic population model with maturation delay and nonlinear birth rate. Discrete and Continuous Dynamical Systems  B, 2005, 5 (3) : 735752. doi: 10.3934/dcdsb.2005.5.735 
[15] 
Kie Van Ivanky Saputra, Lennaert van Veen, Gilles Reinout Willem Quispel. The saddlenodetranscritical bifurcation in a population model with constant rate harvesting. Discrete and Continuous Dynamical Systems  B, 2010, 14 (1) : 233250. doi: 10.3934/dcdsb.2010.14.233 
[16] 
XunYang Wang, Khalid Hattaf, HaiFeng Huo, Hong Xiang. Stability analysis of a delayed social epidemics model with general contact rate and its optimal control. Journal of Industrial and Management Optimization, 2016, 12 (4) : 12671285. doi: 10.3934/jimo.2016.12.1267 
[17] 
Islam A. Moneim, David Greenhalgh. Use Of A Periodic Vaccination Strategy To Control The Spread Of Epidemics With Seasonally Varying Contact Rate. Mathematical Biosciences & Engineering, 2005, 2 (3) : 591611. doi: 10.3934/mbe.2005.2.591 
[18] 
Xing Liang, Lei Zhang. The optimal distribution of resources and rate of migration maximizing the population size in logistic model with identical migration. Discrete and Continuous Dynamical Systems  B, 2021, 26 (4) : 20552065. doi: 10.3934/dcdsb.2020280 
[19] 
Caiping Liu, Heungwing Lee. Lagrange multiplier rules for approximate solutions in vector optimization. Journal of Industrial and Management Optimization, 2012, 8 (3) : 749764. doi: 10.3934/jimo.2012.8.749 
[20] 
Santanu Sarkar. Analysis of Hidden Number Problem with Hidden Multiplier. Advances in Mathematics of Communications, 2017, 11 (4) : 805811. doi: 10.3934/amc.2017059 
2018 Impact Factor: 1.313
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