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Zbl 1170.35052
Camara, Baba Issa; Aziz-Alaoui, M.A.
Dynamics of a predator-prey model with diffusion. (English)
[J] Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 15, No. 6, 897-906 (2008). ISSN 1201-3390; ISSN 1918-2538/e

The authors have considered a spatio-temporal prey-predator system given by a reaction-diffusion equations which is based on a holling type.-II modification of frontal responses. The global stability of the interior steady state is studed as well as bifurcations which lead to the instability of this equilibrium. Experiments are performed for illustration.
[Prabhat Kumar Mahanti (Ranchi)]

MSC 2000:: *35K57 Reaction-diffusion equations
92D25 Population dynamics
35B40 Asymptotic behavior of solutions of PDE
35B32 Bifurcation (PDE)

Keywords: Lyapunov function; interior steady state

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