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A mathematical model for wild and sterile species in competition: immigration

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  • Flores, J.C.

Abstract

We consider a mathematical model of eradication by competition between wild and sterile species when immigration is present. We discuss the case with constant and random immigration flux. In the first case, there is a threshold of eradication Mc related to the number M of sterile individuals. This threshold is evaluated analytically and depends on the niche capacity for instance . Under this threshold (M

Suggested Citation

  • Flores, J.C., 2003. "A mathematical model for wild and sterile species in competition: immigration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(1), pages 214-224.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:1:p:214-224
    DOI: 10.1016/S0378-4371(03)00545-4
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    Cited by:

    1. Flores, J.C., 2020. "Game theory approach to sterile release populations and replicator dynamics: Niche fragmentation and resilience," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    2. Manuel De la Sen & Asier Ibeas & Aitor J. Garrido, 2019. "Stage-Dependent Structured Discrete-Time Models for Mosquito Population Evolution with Survivability: Solution Properties, Equilibrium Points, Oscillations, and Population Feedback Controls," Mathematics, MDPI, vol. 7(12), pages 1-29, December.

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    Keywords

    Population dynamics; Ecology;

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