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A study on the effects of disease caused death in a simple epidemic model
1. | Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, United States, United States, United States |
[1] |
Yun Kang, Carlos Castillo-Chávez. A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness. Discrete and Continuous Dynamical Systems - B, 2014, 19 (1) : 89-130. doi: 10.3934/dcdsb.2014.19.89 |
[2] |
F. Berezovskaya, G. Karev, Baojun Song, Carlos Castillo-Chavez. A Simple Epidemic Model with Surprising Dynamics. Mathematical Biosciences & Engineering, 2005, 2 (1) : 133-152. doi: 10.3934/mbe.2005.2.133 |
[3] |
Jianquan Li, Yicang Zhou, Jianhong Wu, Zhien Ma. Complex dynamics of a simple epidemic model with a nonlinear incidence. Discrete and Continuous Dynamical Systems - B, 2007, 8 (1) : 161-173. doi: 10.3934/dcdsb.2007.8.161 |
[4] |
Mudassar Imran, Mohamed Ben-Romdhane, Ali R. Ansari, Helmi Temimi. Numerical study of an influenza epidemic dynamical model with diffusion. Discrete and Continuous Dynamical Systems - S, 2020, 13 (10) : 2761-2787. doi: 10.3934/dcdss.2020168 |
[5] |
B. W. Kooi, D. Bontje, M. Liebig. Model analysis of a simple aquatic ecosystems with sublethal toxic effects. Mathematical Biosciences & Engineering, 2008, 5 (4) : 771-787. doi: 10.3934/mbe.2008.5.771 |
[6] |
Wenzhang Huang, Maoan Han, Kaiyu Liu. Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Mathematical Biosciences & Engineering, 2010, 7 (1) : 51-66. doi: 10.3934/mbe.2010.7.51 |
[7] |
Min Zhu, Xiaofei Guo, Zhigui Lin. The risk index for an SIR epidemic model and spatial spreading of the infectious disease. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 1565-1583. doi: 10.3934/mbe.2017081 |
[8] |
Zhenyuan Guo, Lihong Huang, Xingfu Zou. Impact of discontinuous treatments on disease dynamics in an SIR epidemic model. Mathematical Biosciences & Engineering, 2012, 9 (1) : 97-110. doi: 10.3934/mbe.2012.9.97 |
[9] |
Yoichi Enatsu, Emiko Ishiwata, Takeo Ushijima. Traveling wave solution for a diffusive simple epidemic model with a free boundary. Discrete and Continuous Dynamical Systems - S, 2021, 14 (3) : 835-850. doi: 10.3934/dcdss.2020387 |
[10] |
Federico Papa, Francesca Binda, Giovanni Felici, Marco Franzetti, Alberto Gandolfi, Carmela Sinisgalli, Claudia Balotta. A simple model of HIV epidemic in Italy: The role of the antiretroviral treatment. Mathematical Biosciences & Engineering, 2018, 15 (1) : 181-207. doi: 10.3934/mbe.2018008 |
[11] |
Jeff Musgrave, James Watmough. Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic. Mathematical Biosciences & Engineering, 2009, 6 (2) : 363-376. doi: 10.3934/mbe.2009.6.363 |
[12] |
Fred Brauer. Some simple epidemic models. Mathematical Biosciences & Engineering, 2006, 3 (1) : 1-15. doi: 10.3934/mbe.2006.3.1 |
[13] |
Noémi Nagy, Péter L. Simon. Detailed analytic study of the compact pairwise model for SIS epidemic propagation on networks. Discrete and Continuous Dynamical Systems - B, 2020, 25 (1) : 99-115. doi: 10.3934/dcdsb.2019174 |
[14] |
Tinevimbo Shiri, Winston Garira, Senelani D. Musekwa. A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters. Mathematical Biosciences & Engineering, 2005, 2 (4) : 811-832. doi: 10.3934/mbe.2005.2.811 |
[15] |
John E. Franke, Abdul-Aziz Yakubu. Periodically forced discrete-time SIS epidemic model with disease induced mortality. Mathematical Biosciences & Engineering, 2011, 8 (2) : 385-408. doi: 10.3934/mbe.2011.8.385 |
[16] |
Zhenquan Zhang, Meiling Chen, Jiajun Zhang, Tianshou Zhou. Analysis of non-Markovian effects in generalized birth-death models. Discrete and Continuous Dynamical Systems - B, 2021, 26 (7) : 3717-3735. doi: 10.3934/dcdsb.2020254 |
[17] |
Theodore E. Galanthay. Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model. Discrete and Continuous Dynamical Systems - B, 2015, 20 (6) : 1625-1638. doi: 10.3934/dcdsb.2015.20.1625 |
[18] |
Daifeng Duan, Cuiping Wang, Yuan Yuan. Dynamical analysis in disease transmission and final epidemic size. Communications on Pure and Applied Analysis, , () : -. doi: 10.3934/cpaa.2021150 |
[19] |
Grzegorz Dudziuk, Mirosław Lachowicz, Henryk Leszczyński, Zuzanna Szymańska. A simple model of collagen remodeling. Discrete and Continuous Dynamical Systems - B, 2019, 24 (5) : 2205-2217. doi: 10.3934/dcdsb.2019091 |
[20] |
Yun Kang, Sourav Kumar Sasmal, Amiya Ranjan Bhowmick, Joydev Chattopadhyay. Dynamics of a predator-prey system with prey subject to Allee effects and disease. Mathematical Biosciences & Engineering, 2014, 11 (4) : 877-918. doi: 10.3934/mbe.2014.11.877 |
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