Qamar J.A. Khan and Mohamed Al-Lawatia
Predator–prey models, switching, stability, control strategies
In this paper, we analyze a predator–prey model of oceanic islands with switching strategy of opportunistic superpredators. The essen- tial mathematical features are analyzed with the help of equilibrium local and global stability analysis. We find seven equilibrium possi- bilities and establish conditions under which the three species, prey (birds), mesopredator (rabbits) and superpredator (cats), coexist. Moreover, we discuss ways to save the bird population. Experimental data simulation and brief discussion conclude the paper.
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