Influence of Diffusion on an InvasionDiffusion Prey-Predator Model With Disease Infection in Both Populations

LIU Wenqing; CHEN Qingwan

doi:10.21656/1000-0887.390100

Volume 40 Issue 3

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LIU Wenqing, CHEN Qingwan. Influence of Diffusion on an InvasionDiffusion Prey-Predator Model With Disease Infection in Both Populations[J]. Applied Mathematics and Mechanics, 2019, 40(3): 321-331. doi: 10.21656/1000-0887.390100

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Influence of Diffusion on an InvasionDiffusion Prey-Predator Model With Disease Infection in Both Populations

doi: 10.21656/1000-0887.390100

Minnan Science and Technology Institute, Fujian Normal University, Quanzhou, Fujian 362300, P.R.China

Funds: The National Natural Science Foundation of China（11662005）

Received Date: 2018-06-27
Rev Recd Date: 2018-10-16
Publish Date: 2019-03-01

Abstract

Abstract

An invasiondiffusion preypredator epidemic system with disease infection in both populations was studied. The influence of invasion diffusion on the equilibrium solutions of positive constants was obtained through analysis of the eigenvalue and construction of the Lyapunov function. Furthermore, with the topological method, it was proved that the coefficient of invasion diffusion will be big enough while the selfdiffusion coefficient is sufficiently small, then there exists a positive nonconstant equilibrium solution.
- invasion diffusion,
- stability,
- positive equilibrium solution,
- nonconstant positive equilibrium solution

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References(16)

References

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