| Autor: |
Zhang, Huisen, Fu, Shengmao, Huang, Canyun |
| Předmět: |
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| Zdroj: |
Discrete & Continuous Dynamical Systems - Series B; Sep2024, Vol. 29 Issue 9, p1-24, 24p |
| Abstrakt: |
In this paper, a diffusive prey-predator model with hunting cooperation and prey-taxis is proposed and investigated. First, we prove the uniform boundedness and global existence of time-varying solutions to the model. Then the stability and prey-taxis-driven instability of positive equilibrium are discussed through linearization analysis. It is found that negative prey-taxis may change the spatial stability of the positive equilibrium, implying formation of Turing pattern. Next, we discuss the existence and stability of the spatial pattern by choose the prey-tactic sensitivity coefficient as bifurcation parameter. Finally, some numerical simulations are performed to visualize the impact of prey-taxis on the complex spatial pattern formation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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