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Asymptotic behavior of a delay predator-prey system with stage structure and variable coefficients. (English) Zbl 1177.35235

Summary: We establish a global attractor for a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the predator, delay due to maturity and variable coefficients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coefficients.

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
92D25 Population dynamics (general)
35B41 Attractors
35R10 Partial functional-differential equations
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