Dynamical behaviors of a diffusive predator–prey system with Beddington–DeAngelis functional response
2014 ◽
Vol 07
(03)
◽
pp. 1450033
Keyword(s):
In this paper, we present a diffusive predator–prey system with Beddington–DeAngelis functional response, where the prey species can disperse between the two patches, and there is competition between the two predators. Sufficient conditions for the permanence and extinction of system are established based on the upper and lower solution methods and comparison theory of differential equation. Furthermore, the global asymptotic stability of positive solutions is obtained by constructing a suitable Lyapunov function. By using the continuation theorem in coincidence degree theory, we show the periodicity of positive solutions. Finally, we illustrate global asymptotic stability of the model by a simulation figure.
2013 ◽
Vol 06
(01)
◽
pp. 1250064
◽
2021 ◽
2004 ◽
Vol 2004
(2)
◽
pp. 325-343
◽
2006 ◽
Vol 19
(4)
◽
pp. 449-460
◽
Keyword(s):
2013 ◽
Vol 805-806
◽
pp. 1957-1961