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Steady states of a strongly coupled prey-predator model

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  • We study an elliptic system arising from a prey-predator model, where cross diffusions are included to reflect the influences of density gradients of prey and predator toward the fluxes of underlying populations. We establish existence and non{existence of non{constant positive solutions, or the possible pattern of popula- tion distribution.
    Mathematics Subject Classification: Primary 35J55; Secondary 92D25.


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