Journal of Computational and Applied Mathematics
Mathematical Models in Biology
Mathematical Models in Biology
Periodicity in a logistic type system with several delays
Computers & Mathematics with Applications
Hopf bifurcation in Marchuk's model of immune reactions
Mathematical and Computer Modelling: An International Journal
Permanence for the discrete mutualism model with time delays
Mathematical and Computer Modelling: An International Journal
Permanence of a discrete n-species cooperation system with time-varying delays and feedback controls
Mathematical and Computer Modelling: An International Journal
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In this paper, a nonlinear nonautonomous predator-prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed of two patches, has two species: the prey can diffuse between two patches, but the predator is confined to one patch. We first discuss the uniform persistence and global asymptotic stability of the model; after that, by constructing a suitable Lyapunov functional, some sufficient conditions for the existence of a unique almost periodic solution of the system are obtained. An example shows the feasibility of our main results.