Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses
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| Format: | Artículo científico |
| Language: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876451095094493184 |
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| author | Yunfeng Jia |
| author_facet | Yunfeng Jia |
| contents | Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses Yunfeng Jia Matemáticas large Reaction bifurcation time behavior diffusion system We introduce a reaction–diffusion system with modified nonlinear functional responses. We first discuss the large-time behavior of positive solutions for the system. And then, for the corresponding steady-state system, we are concerned with the priori estimate, the existence of the nonconstant positive solutions as well as the bifurcations emitting from the positive constant equilibrium solution. Finally, we present some numerical examples to test the theoretical and computational analysis results. Meanwhile, we depict the trajectory graphs and spatiotemporal patterns to simulate the dynamics for the system. The numerical computations and simulated graphs imply that the available food resource for consumer is very likely not single. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869007 https://www.redalyc.org/journal/6941/694172869007/ https://www.redalyc.org/journal/6941/694172869007/html/ https://www.redalyc.org/journal/6941/694172869007/694172869007.epub https://www.redalyc.org/journal/6941/694172869007/movil https://doi.org/10.15388/namc.2021.26.22356 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.2 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172869007 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses Yunfeng Jia Matemáticas large Reaction bifurcation time behavior diffusion system Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses Yunfeng Jia Matemáticas large Reaction bifurcation time behavior diffusion system We introduce a reaction–diffusion system with modified nonlinear functional responses. We first discuss the large-time behavior of positive solutions for the system. And then, for the corresponding steady-state system, we are concerned with the priori estimate, the existence of the nonconstant positive solutions as well as the bifurcations emitting from the positive constant equilibrium solution. Finally, we present some numerical examples to test the theoretical and computational analysis results. Meanwhile, we depict the trajectory graphs and spatiotemporal patterns to simulate the dynamics for the system. The numerical computations and simulated graphs imply that the available food resource for consumer is very likely not single. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869007 https://www.redalyc.org/journal/6941/694172869007/ https://www.redalyc.org/journal/6941/694172869007/html/ https://www.redalyc.org/journal/6941/694172869007/694172869007.epub https://www.redalyc.org/journal/6941/694172869007/movil https://doi.org/10.15388/namc.2021.26.22356 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.2 Vol.26 |
| title | Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses |
| topic | Matemáticas large Reaction bifurcation time behavior diffusion system |
| url | https://www.redalyc.org/articulo.oa?id=694172869007 https://www.redalyc.org/journal/6941/694172869007/ https://www.redalyc.org/journal/6941/694172869007/html/ https://www.redalyc.org/journal/6941/694172869007/694172869007.epub https://www.redalyc.org/journal/6941/694172869007/movil https://doi.org/10.15388/namc.2021.26.22356 |