
Mathematical Biosciences and Engineering, 2019, 16(5): 38853913. doi: 10.3934/mbe.2019192.
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Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate
1 Key Laboratory of Modern Teaching Technology, Ministry of Education, Xi’an, Shaanxi, 710062, China
2 School of Computer Science, Shaanxi Normal University, Xi’an, Shaanxi, 710119, China
3 School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, Shaanxi, 710119, China
4 School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, 221116, China
Received: , Accepted: , Published:
Special Issues: Spatial dynamics for epidemic models with dispersal of organisms and heterogenity of environment
Keywords: SIS epidemic model; diffusion; saturated incidence rate; endemic equilibrium; asymptotic profile; extinction/persistence
Citation: Yan’e Wang , Zhiguo Wang, Chengxia Lei. Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate. Mathematical Biosciences and Engineering, 2019, 16(5): 38853913. doi: 10.3934/mbe.2019192
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This article has been cited by:
 1. Xueying Sun, Renhao Cui, Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment, Journal of Mathematical Analysis and Applications, 2020, 490, 1, 124212, 10.1016/j.jmaa.2020.124212
 2. Jialiang Zhang, Renhao Cui, Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection, Mathematical Methods in the Applied Sciences, 2020, 10.1002/mma.6754
 3. Linhe Zhu, Xiaoyuan Huang, Ying Liu, Zhengdi Zhang, Spatiotemporal dynamics analysis and optimal control method of SI reactiondiffusion propagation model, Journal of Mathematical Analysis and Applications, 2020, 124539, 10.1016/j.jmaa.2020.124539
 4. Jialiang Zhang, Renhao Cui, Asymptotic behavior of an SIS reaction–diffusion–advection model with saturation and spontaneous infection mechanism, Zeitschrift für angewandte Mathematik und Physik, 2020, 71, 5, 10.1007/s00033020013759
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