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Effects of dispersion on stability of multispecies prey-predator systems

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Abstract

The general multispecies prey-predator system with Gompertz's antisymmetric interactions is nonlinearly stable in the absence of dispersion and continues to remain stable with dispersion under both homogeneous reservoir and zero flux boundary conditions in a region containing the equilibrium state. It is proved that a general multispecies food-web model without antisymmetric interactions is stable in the absence of dispersion and remains stable with dispersion in the above-mentioned region.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 208016, Kanpur, India

    V. P. Shukla & P. C. Das

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  1. V. P. Shukla
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  2. P. C. Das
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Shukla, V.P., Das, P.C. Effects of dispersion on stability of multispecies prey-predator systems. Bltn Mathcal Biology 44, 571–578 (1982). https://doi.org/10.1007/BF02459410

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  • DOI: https://doi.org/10.1007/BF02459410

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