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Zbl 0973.35034
Faria, Teresa
Stability and bifurcation for a delayed predator-prey model and the effect of diffusion. (English)
[J] J. Math. Anal. Appl. 254, No.2, 433-463 (2001). ISSN 0022-247X

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 $E_*$.
[Emil Minchev (Sofia)]
MSC 2000:
*35B32 Bifurcation (PDE)
35R10 Difference-partial differential equations
35K57 Reaction-diffusion equations
35B35 Stability of solutions of PDE
92D25 Population dynamics

Keywords: local stability of the unique positive equilibrium

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