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Chen, Fengde

Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems. (English) Zbl 1113.92061

Appl. Math. Comput. 182, No. 1, 3-12 (2006).
Summary: We propose a discrete multispecies Lotka-Volterra competition predator-prey system. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained. For the periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.

Cited in 50 Documents

MSC:

92D40 Ecology
39A11 Stability of difference equations (MSC2000)
37N25 Dynamical systems in biology

Keywords:

non-autonomous; Lotka–Volterra competition predator–prey systems; positive periodic solution; discrete; permanence; global attractivity
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\textit{F. Chen}, Appl. Math. Comput. 182, No. 1, 3--12 (2006; Zbl 1113.92061)
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References:

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