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Stability and bifurcation for a delayed predator-prey model and the effect of diffusion. (English) Zbl 0973.35034
The author studies the dynamics of a predator-prey system with one or two delays in terms of the local stability of the unique positive equilibrium $$E_*$$. Comparison between the dynamics of the system with and without diffusion terms is made in a neighbourhood of $$E_*$$.

##### MSC:
 35B32 Bifurcations in context of PDEs 35R10 Functional partial differential equations 35K57 Reaction-diffusion equations 35B35 Stability in context of PDEs 92D25 Population dynamics (general)
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##### References:
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