Coexistence and extinction in a data-based ratio-dependent model of an insect community

Yang Kuang, Kaifa Wang

Research output: Contribution to journalArticlepeer-review

Abstract

In theory, pure competition often leads to competitive exclusion of species. However, what we often see in nature is a large number of distinct predator or consumer species coexist in a community consisting a smaller number of prey or plant species. In an effort of dissecting how indirect competition and selective predation may have contributed to the coexistence of species in an insect community, according to the replicated cage experiments (two aphid species and a specialist parasitoid that attacks only one of the aphids) and proposed mathematical models, van Veen et. al. [5] conclude that the coexistence of the three species is due to a combination of density-mediated and trait-mediated indirect interactions. In this paper, we formulate an alternative model that observes the conventional law of mass conservation and provides a better fitting to their experimental data sets. Moreover, we present an initial attempt in studying the stabilities of the nonnegative steady states of this model.

Original languageEnglish (US)
Pages (from-to)3274-3293
Number of pages20
JournalMathematical Biosciences and Engineering
Volume17
Issue number4
DOIs
StatePublished - Apr 27 2020

Keywords

  • Coexistence
  • Competition
  • Extinction
  • Hopf bifurcation
  • Predator-prey
  • Stability

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

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