Global boundedness and stabilization in a predator-prey model with cannibalism and prey-evasion
This paper is concerned with a predator-prey model with cannibalism and prey-evasion. The global existence and boundedness of solutions to the system in bounded domains of 1D and 2D are proved for any prey-evasion sensitivity coefficient. It is also shown that prey-evasion driven Turing instability...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Turing-instabilitás, Hopf-bifurkáció, Differenciálegyenlet - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.58 |
| Online Access: | http://acta.bibl.u-szeged.hu/88801 |
| Tartalmi kivonat: | This paper is concerned with a predator-prey model with cannibalism and prey-evasion. The global existence and boundedness of solutions to the system in bounded domains of 1D and 2D are proved for any prey-evasion sensitivity coefficient. It is also shown that prey-evasion driven Turing instability when the prey-evasion coefficient surpasses the critical value. Besides, the existence of Hopf bifurcation, which generates spatiotemporal patterns, is established. And, numerical simulations demonstrate the complex dynamic behavior. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 23 |
| ISSN: | 1417-3875 |