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

1 Division of Physical Sciences and Mathematics, College of Arts and Sciences, University of the Philippines Visayas, Miag-ao
2 Department of Mathematics, National Tsing-Hua University, Hsinchu 300, Tawain
3 Institute of Mathematics, University of the Philippines, C.P. Garcia St., U.P. Campus, Diliman, 1101 Quezon City, Philippines

Special Issues: Resource Explicit Population Models

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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Keywords uniform persistence; local and global stability; chemostat; mycoloop; phytoplankton; zooplankton; parasitic fungi

Citation: Alexis Erich S. Almocera, Sze-Bi Hsu, Polly W. Sy. Extinction and uniform persistence in a microbial food web with mycoloop: limiting behavior of a population model with parasitic fungi. Mathematical Biosciences and Engineering, 2019, 16(1): 516-537. doi: 10.3934/mbe.2019024


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