Stability and Hopf bifurcation analysis of a diffusive predator–prey model with Smith growth
2015 ◽
Vol 08
(01)
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pp. 1550013
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Keyword(s):
In this paper, we consider a diffusive Holling–Tanner predator–prey model with Smith growth subject to Neumann boundary condition. We analyze the local stability, existence of a Hopf bifurcation at the co-existence of the equilibrium and stability of bifurcating periodic solutions of the system in the absence of diffusion. Furthermore the Turing instability and Hopf bifurcation analysis of the system with diffusion are studied. Finally numerical simulations are given to demonstrate the effectiveness of the theoretical analysis.
2013 ◽
Vol 2013
◽
pp. 1-8
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Keyword(s):
Keyword(s):
2019 ◽
Vol 9
(4)
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pp. 1589-1605
Keyword(s):
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model
2011 ◽
Vol 78
(2)
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pp. 287-306
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Keyword(s):
2016 ◽
Vol 39
(14)
◽
pp. 4158-4170
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Keyword(s):
2015 ◽
Vol 31
(1)
◽
pp. 235-246
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Keyword(s):