On the dynamics of an intraguild predator–prey model

F. Capone, M.F. Carfora, R. De Luca and I. Torcicollo

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 149, issue C, 17-31

Abstract: An intraguild predator–prey model with a carrying capacity proportional to the biotic resource, is generalized by introducing a Holling type II functional response. The longtime behavior of solutions is analyzed and, in particular, absorbing sets in the phase space are determined. The existence of biologically meaningful equilibria (boundary and internal equilibria) has been investigated. Linear and nonlinear stability conditions for biologically meaningful equilibria are performed. Finally, numerical simulations on different regimes of coexistence and extinction of the involved populations have been shown.

Keywords: Intraguild predation; Stability; Longtime behavior; Holling type II functional response (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:149:y:2018:i:c:p:17-31

DOI: 10.1016/j.matcom.2018.01.004

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