Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species
| Autor: | Urszula Foryś, Meihong Qiao, Anping Liu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Lyapunov function
Persistence (psychology) Article Subject Applied Mathematics lcsh:Mathematics lcsh:QA1-939 Predation symbols.namesake Exponential stability Control theory Reaction–diffusion system symbols Applied mathematics Quantitative Biology::Populations and Evolution Ecosystem Boundary value problem Predator Mathematics |
| Zdroj: | J. Appl. Math. Journal of Applied Mathematics, Vol 2014 (2014) |
| Popis: | A diffusive predator-prey system with disease in predator species and no-flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease-free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic stability of the unique positive equilibrium and disease-free equilibrium of the system are derived using the approach of Lyapunov function. |
| Databáze: | OpenAIRE |
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