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Journal of Mathematical Biology

, Volume 35, Issue 6, pp 683–694 | Cite as

Competitive exclusion and persistence in models of resource and sexual competition

  • Wei Feng

Abstract.

 We study a combined mathematical model of resource and sexual competition. The population dynamics in this model is analyzed through a coupled system of reaction-diffusion equations. It is shown that strong sexual competition and low birth rate lead to competitive exclusion of the biological species. If sexual competition is weak, then the persistence of the species is possible, depending on the initial density functions and the growth rates of the species. When sexual competition affects both species, persistence and competitive exclusion results are also obtained in terms of the ecological data in the model.

Key words: Resource and sexual competition Population dynamics Reaction-diffusion systems Persistence and exclusion 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Wei Feng
    • 1
  1. 1.Department of Mathematical Sciences, University of North Carolina at Wilmington, Wilmington, NC 28403, USAUS

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