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| Format: | Artículo científico |
| Sprache: | en |
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Vilniaus Universitetas
2022
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| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=694173273002 https://www.redalyc.org/journal/6941/694173273002/ https://www.redalyc.org/journal/6941/694173273002/html/ https://www.redalyc.org/journal/6941/694173273002/694173273002.epub https://www.redalyc.org/journal/6941/694173273002/movil |
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Inhaltsangabe:
- Spatiotemporal dynamics of a diffusive predator–prey model with fear effect* Jia Liu Yun Kang Matemáticas predator Diffusion stability prey model fear effect This paper concerned with a diffusive predator–prey model with fear effect. First, some basic dynamics of system is analyzed. Then based on stability analysis, we derive some conditions for stability and bifurcation of constant steady state. Furthermore, we derive some results on the existence and nonexistence of nonconstant steady states of this model by considering the effect of diffusion. Finally, we present some numerical simulations to verify our theoretical results. By mathematical and numerical analyses, we find that the fear can prevent the occurrence of limit cycle oscillation and increase the stability of the system, and the diffusion can also induce the chaos in the system. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173273002 https://www.redalyc.org/journal/6941/694173273002/ https://www.redalyc.org/journal/6941/694173273002/html/ https://www.redalyc.org/journal/6941/694173273002/694173273002.epub https://www.redalyc.org/journal/6941/694173273002/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.5 Vol.27