Study of an eco-epidemiological model with Z-type control

Abdullah K. Alzahrani, Ali Saleh Alshomrani, Nikhil Pal and Sudip Samanta

Chaos, Solitons & Fractals, 2018, vol. 113, issue C, 197-208

Abstract: In the present paper, an eco-epidemic model with Z-type control mechanism has been proposed and analyzed. We consider a predator-prey model with Holling type-II functional response, where prey is subjected to disease infection. We observe that disease may destabilize the system by producing chaotic oscillations. To confirm the occurrence of chaos, we draw the Poincare map and also compute the Lyapunov exponents. We further observe that if the indirect Z-controller is applied in the predator population, then the chaos as well as the disease can be eliminated from the system. To explore the global dynamics of the system and the possible applications of Z-type control mechanism, we perform extensive numerical experiments.

Keywords: Disease; Chaos; Lyapunov exponent; Z-type control; Chaos control; Disease control (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:113:y:2018:i:c:p:197-208

DOI: 10.1016/j.chaos.2018.06.012

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