The population diffusions are incorporated into the prey–predator model with the stage structure for predators. The threshold is established above which the predators are permanent and below which the predators become extinct. The necessary and sufficient conditions for the local stability of the positive steady state are obtained by analysing eigenvalues. With the Lyapunov direct method, explicit conditions for the global stability of the positive equilibrium are derived.

Global analysis of a stage-structured model with population diffusion

MULONE, Giuseppe
2011

Abstract

The population diffusions are incorporated into the prey–predator model with the stage structure for predators. The threshold is established above which the predators are permanent and below which the predators become extinct. The necessary and sufficient conditions for the local stability of the positive steady state are obtained by analysing eigenvalues. With the Lyapunov direct method, explicit conditions for the global stability of the positive equilibrium are derived.
permanence; extinction; stability
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/9739
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