Prey-predator dynamics with prey refuge providing additional food to predator

Joydev Ghosh, Banshidhar Sahoo and Swarup Poria

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 110-119

Abstract: The impacts of additional food for predator on the dynamics of a prey-predator model with prey refuge are investigated. The equilibrium points and their stability behaviours are determined. Hopf bifurcation conditions are derived analytically. Most significantly, existence conditions for unique stable limit cycle in the phase plane are shown analytically. The analytical results are in well agreement with the numerical simulation results. Effects of variation of refuge level as well as the variation of quality and quantity of additional food on the dynamics are reported with the help of bifurcation diagrams. It is found that high quality and high quantity of additional food supports oscillatory coexistence of species. It is observed that predator extinction possibility in high prey refuge ecological systems may be removed by supplying additional food to predator population. The reported theoretical results may be useful to conservation biologist for species conservation in real world ecological systems.

Keywords: Prey refuge; Additional food; Hopf bifurcation; Unique limit cycle (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:110-119

DOI: 10.1016/j.chaos.2017.01.010

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