Mathematical Biosciences and Engineering (Jan 2019)

Extinction and uniform persistence in a microbial food web with mycoloop: limiting behavior of a population model with parasitic fungi

  • Alexis Erich S. Almocera,
  • Sze-Bi Hsu ,
  • Polly W. Sy

DOI
https://doi.org/10.3934/mbe.2019024
Journal volume & issue
Vol. 16, no. 1
pp. 516 – 537

Abstract

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It is recently known that parasites provide a better picture of an ecosystem, gaining attention in theoretical ecology. Parasitic fungi belong to a food chain between zooplankton and inedible phytoplankton, called mycoloop. We consider a chemostat model that incorporates a single mycoloop, and analyze the limiting behavior of solutions, adding to previous work on steady-state analysis. By way of persistence theory, we establish that a given species survives depending on the food web configuration and the nutrient level. Moreover, we conclude that the model predicts coexistence under bounded nutrient levels.

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