A Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge

Mathematical study of a Leslie–Gower-type tritrophic population model in a polluted environment

“…Simple prey predator food chain models often display rich nonlinear mathematical behavior, including varying numbers and stability of equilibrium states and limit cycles (Jana et al 2014;Haque et al 2013;Holt and Barfield 2013;Gwaltney et al 2007;Kooi and Hanegraaf 2001;Upadhyaya and Iyengar 2005;Xu et al 2005). A number of studies have been carried out in recent years to study the dynamics of three trophic-level food chains comprising of prey, specialist predator and generalist predators, using mathematical models based on modified version of Leslie-Gower scheme (Aziz-Alaoui 2002; Rai and Upadhyay 2004;Hanski et al 1991;Bandyopadhyay et al 2008;Kumari 2013;Naji et al 2010;Sharma and Samanta 2015;Upadhyay 2009Upadhyay , 2003. It is observed in the marine ecosystem that the top predator is generalist predator in the food chain system consisting of phytoplankton !…”

Mathematical analysis of an optimal control problem for the predator‐prey model with disease in prey

“…For more realistic epidemic models, we refer the readers to References 3,4. Furthermore, in the literature, many models have been formulated mathematically to interpret the dynamic relationship between the predator‐prey population with a disease in prey on the autonomous system, for example, see References 5-10 and the references therein. Several works concerning eco‐epidemiological models appeared in many papers, for example, see References 11-17.…”

Dynamics of Leslie-Gower Pest-Predator Model with Disease in Pest Including Pest-Harvesting and Optimal Implementation of Pesticide

“…If the predator is assumed to grow logistically where its carrying capacity depends on the size of prey, then we can apply a Leslie-Gower model. Ecoepidemic models based on the Leslie-Gower equation have been proposed by a number of researchers [14][15][16][17][18][19]. Zhou et al [19] and Sharma and Samanta [16] considered an ecoepidemic model based on Leslie-Gower model with infectious disease in prey where the functional response follows the Holling type II.…”