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.
On the dynamics of an intraguild predator-prey model / Capone, Florinda; Carfora, M. F.; DE LUCA, Roberta; Torcicollo, Isabella. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 149:(2018), pp. 17-31. [10.1016/j.matcom.2018.01.004]
On the dynamics of an intraguild predator-prey model
Capone Florinda;De Luca Roberta;TORCICOLLO, ISABELLA
2018
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
