Positive steady states of a SI epidemic model with cross diffusion

2021 ◽  
Vol 410 ◽  
pp. 126423
Author(s):  
Nishith Mohan ◽  
Nitu Kumari
Keyword(s):  
Epidemic Model ◽  
Steady States ◽  
Cross Diffusion ◽  
Positive Steady States

scholarly journals Positive steady states of a ratio-dependent predator-prey system with cross-diffusion

2019 ◽  
Vol 16 (6) ◽  
pp. 6753-6768
Author(s):  
Xiaoling Li ◽  
◽  
Guangping Hu ◽  
Xianpei Li ◽  
Zhaosheng Feng ◽  
...  
Keyword(s):  
Steady States ◽  
Predator Prey ◽  
Cross Diffusion ◽  
Prey System ◽  
Positive Steady States ◽  
Ratio Dependent

scholarly journals Stationary Patterns of a Cross-Diffusion Epidemic Model

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yongli Cai ◽  
Dongxuan Chi ◽  
Wenbin Liu ◽  
Weiming Wang
Keyword(s):  
Global Stability ◽  
Basic Reproduction Number ◽  
Epidemic Model ◽  
Complex Dynamics ◽  
Reproduction Number ◽  
Steady States ◽  
Nonnegative Constant ◽  
Cross Diffusion ◽  
Existence And Nonexistence ◽  
The Basic Reproduction Number

We investigate the complex dynamics of cross-diffusionSIepidemic model. We first give the conditions of the local and global stability of the nonnegative constant steady states, which indicates that the basic reproduction number determines whether there is an endemic outbreak or not. Furthermore, we prove the existence and nonexistence of the positive nonconstant steady states, which guarantees the existence of the stationary patterns.

scholarly journals Positive steady states in an epidemic model with nonlinear incidence rate

2018 ◽  
Vol 75 (2) ◽  
pp. 424-443 ◽  
Author(s):  
Xiaoyan Gao ◽  
Yongli Cai ◽  
Feng Rao ◽  
Shengmao Fu ◽  
Weiming Wang
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Steady States ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Positive Steady States

scholarly journals STATIONARY PATTERNS OF A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION

2011 ◽  
Vol 16 (3) ◽  
pp. 461-474 ◽  
Author(s):  
Yu-Xia Wang ◽  
Wan-Tong Li ◽  
Hong-Bo Shi
Keyword(s):  
Boundary Condition ◽  
Bounded Domain ◽  
Steady States ◽  
Flux Boundary Condition ◽  
Predator Prey ◽  
Cross Diffusion ◽  
Prey System ◽  
Positive Steady States ◽  
Ratio Dependent ◽  
The Cross

This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary condition. We establish the existence and non-existence of non-constant positive steady states (patterns). In particular, we show that under certain hypotheses, the cross-diffusion can create stationary patterns even though the corresponding model without cross-diffusion fails.

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