Abstract
This paper presents the dispersal effect on a prey‐predator model with three‐patch states incorporating a strong Allee effect on the first two prey populations. The prey species are considered to be mutable to exhibit a balanced dispersal between the patches. The dispersal among patches is directed through lower fit patches to higher fit patches. This paper derives a new approach for dispersal and Allee’s effect with the specific condition on the stability on a three‐patch of a three‐species prey‐predator anticipated system. The persistence of the system is observed because of the dispersal effect on the three‐patch prey‐predator system. The numerical simulations of analytical findings are presented using hypothetical parameter values to relate real‐world prey‐predator situations for balancing ecology.
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