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Journal of Biological Dynamics Volume 6, 2012 - Issue 2
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Original Articles

Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion

Necibe Tuncer Department of Mathematics, University of Florida, 358 Little Hall, PO Box 118105, Gainesville, FL, 32611-8105, USAView further author information
&
Maia Martcheva Department of Mathematics, University of Florida, 358 Little Hall, PO Box 118105, Gainesville, FL, 32611-8105, USACorrespondence[email protected] [email protected]
Pages 406-439 | Received 07 Oct 2010, Accepted 10 Aug 2011, Published online: 21 Sep 2011

Citations (23)

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X. Liu, Z. W. Yang & Y. M. Zeng. (2023) Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source. International Journal of Computer Mathematics 100:8, pages 1737-1756.
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Articles from other publishers (22)

Yuan Lou & Rachidi B. Salako. (2023) Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases. Journal of Differential Equations 370, pages 424-469.
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X. Liu & Z. W. Yang. (2022) Numerical analysis of a reaction–diffusion susceptible–infected–susceptible epidemic model. Computational and Applied Mathematics 41:8.
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Jinsheng Guo & Shuang-Ming Wang. (2022) Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay. AIMS Mathematics 7:4, pages 6331-6355.
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Yuan Lou & Rachidi B. Salako. (2021) Control Strategies for a Multi-strain Epidemic Model. Bulletin of Mathematical Biology 84:1.
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Gui Guan & Zhenyuan Guo. (2021) Stability behavior of a two-susceptibility SHIR epidemic model with time delay in complex networks. Nonlinear Dynamics 106:1, pages 1083-1110.
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Yangyang Shi & Hongyong Zhao. (2021) Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Journal of Mathematical Biology 82:4.
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Junping Shi, Yixiang Wu & Xingfu Zou. (2019) Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model. Journal of Dynamics and Differential Equations 32:2, pages 1085-1112.
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Shanshan Chen, Junping Shi, Zhisheng Shuai & Yixiang Wu. (2020) Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Journal of Mathematical Biology 80:7, pages 2327-2361.
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Wei Wang, Wanbiao Ma & Zhaosheng Feng. (2020) Dynamics of reaction–diffusion equations for modeling CD4 T cells decline with general infection mechanism and distinct dispersal rates . Nonlinear Analysis: Real World Applications 51, pages 102976.
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Lin Zhao, Zhi-Cheng Wang & Shigui Ruan. (2020) Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period. Nonlinear Analysis: Real World Applications 51, pages 102966.
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Xue-Zhi Li, Junyuan Yang & Maia MartchevaXue-Zhi Li, Junyuan Yang & Maia Martcheva. 2020. Age Structured Epidemic Modeling. Age Structured Epidemic Modeling 69 103 .
Yongli Cai, Zuqin Ding, Bin Yang, Zhihang Peng & Weiming Wang. (2019) Transmission dynamics of Zika virus with spatial structure—A case study in Rio de Janeiro, Brazil. Physica A: Statistical Mechanics and its Applications 514, pages 729-740.
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Yixiang Wu & Xingfu Zou. (2018) Dynamics and profiles of a diffusive host–pathogen system with distinct dispersal rates. Journal of Differential Equations 264:8, pages 4989-5024.
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Xi-Chao Duan, Jun-Feng Yin, Xue-Zhi Li & Maia Martcheva. (2018) Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection. Journal of Mathematical Analysis and Applications 459:2, pages 717-742.
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Lili Chang & Zhen Jin. (2018) Efficient numerical methods for spatially extended population and epidemic models with time delay. Applied Mathematics and Computation 316, pages 138-154.
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Weiming Wang, Yun Kang & Yongli Cai. (2017) Global stability of the steady states of an epidemic model incorporating intervention strategies. Mathematical Biosciences and Engineering 14:5/6, pages 1071-1089.
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Yixiang Wu, Necibe Tuncer & Maia Martcheva. (2017) Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Discrete & Continuous Dynamical Systems - B 22:3, pages 1167-1187.
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Yixiang Wu & Xingfu Zou. (2016) Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism. Journal of Differential Equations 261:8, pages 4424-4447.
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Yongli Cai & Weiming Wang. (2016) Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion. Nonlinear Analysis: Real World Applications 30, pages 99-125.
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Azmy S. Ackleh, Keng Deng & Yixiang Wu. (2016) Competitive exclusion and coexistence in a two-strain pathogen model with diffusion. Mathematical Biosciences and Engineering 13:1, pages 1-18.
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Yongli Cai & Weiming Wang. (2015) Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment. Discrete and Continuous Dynamical Systems - Series B 20:4, pages 989-1013.
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Maia MartchevaMaia Martcheva. 2015. An Introduction to Mathematical Epidemiology. An Introduction to Mathematical Epidemiology 387 414 .

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