Spatiotemporal dynamics of a diffusive predator–prey model with 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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/27535 |
| _version_ | 1818200488887189504 |
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| author | Jia Liu Yun Kang |
| author_facet | Jia Liu Yun Kang |
| author_sort | Jia Liu |
| collection | DOAJ |
| description |
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.
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| first_indexed | 2024-12-12T02:38:28Z |
| format | Article |
| id | doaj.art-0188a1ee04604765abdcf21a694779cd |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-12T02:38:28Z |
| publishDate | 2022-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-0188a1ee04604765abdcf21a694779cd2022-12-22T00:41:13ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-05-012710.15388/namc.2022.27.27535Spatiotemporal dynamics of a diffusive predator–prey model with fear effectJia Liu0Yun Kang1Jiangsu Vocational College of Electronics and InformationArizona State University 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. https://www.journals.vu.lt/nonlinear-analysis/article/view/27535diffusionstabilityfear effectpredator–prey model |
| spellingShingle | Jia Liu Yun Kang Spatiotemporal dynamics of a diffusive predator–prey model with fear effect Nonlinear Analysis diffusion stability fear effect predator–prey model |
| title | Spatiotemporal dynamics of a diffusive predator–prey model with fear effect |
| title_full | Spatiotemporal dynamics of a diffusive predator–prey model with fear effect |
| title_fullStr | Spatiotemporal dynamics of a diffusive predator–prey model with fear effect |
| title_full_unstemmed | Spatiotemporal dynamics of a diffusive predator–prey model with fear effect |
| title_short | Spatiotemporal dynamics of a diffusive predator–prey model with fear effect |
| title_sort | spatiotemporal dynamics of a diffusive predator prey model with fear effect |
| topic | diffusion stability fear effect predator–prey model |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/27535 |
| work_keys_str_mv | AT jialiu spatiotemporaldynamicsofadiffusivepredatorpreymodelwithfeareffect AT yunkang spatiotemporaldynamicsofadiffusivepredatorpreymodelwithfeareffect |