Abstract
This paper deals with the stabilizing effect of diffusion on a four species food chain model. Conditions for local stability and instability of the model without diffusion are derived in terms of the threshold value of the functional responses of the predators at the steady state. It is also shown that an unstable equilibrium of the food chain without diffusion can be made stable for the model with diffusion, provided diffusion coefficients and predator functional responses satisfy certain threshold properties at the steady state. Lastly conditions for global stability of the model with diffusion are derived.
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