Dynamical behaviors of a diffusive predator–prey model with Beddington–DeAngelis functional response and disease in the prey
2017 ◽
Vol 10
(08)
◽
pp. 1750119
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Keyword(s):
The dynamical behaviors of a diffusive predator–prey model with Beddington–DeAngelis functional response and disease in the prey is considered in this work. By applying the comparison principle, linearized method, Lyapunov function and iterative method, we are able to achieve sufficient conditions of the permanence, the local stability and global stability of the boundary equilibria and the positive equilibrium, respectively. Our result complements and supplements some known ones.
2020 ◽
Vol 99
(99)
◽
pp. 1-12
2019 ◽
Vol 20
(2)
◽
pp. 125-136
2005 ◽
Vol 2005
(2)
◽
pp. 135-144
◽
2014 ◽
Vol 971-973
◽
pp. 2234-2237