A predator-infected prey model with harvesting of infected prey

Abstract

In this paper, we introduce a predator-prey with susceptible and infected prey model. The model includes the harvesting of infected prey. We assume that the predator avoids the infected prey. The susceptible prey becomes infected when they are in contact with infected prey and recover to be susceptible again. We find the equilibrium points and the conditions for their existence and stability. We also show the non-existence of periodic solutions. Numerical simulations explain the effect of the parameters on the behaviour of the three classes of populations. The simulations also give the region of the solution and guarantees that all solutions of the system lie within the region.

Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey

“…β < β * we have λ 2 < 0 and hence the local stability of PDFP depends Equation (8). Obeying Routh-Hurwitz criterion, PDFP is locally asymptotically stable if…”

“…Research on the eco-epidemiology model has been carried out by many previous researchers. Wuhaib and Hasan [8] investigated a predator-prey model by harvesting the infected prey. The infected prey population can recover and becomes susceptible population that can be reinfected.…”

The Dynamics and Analysis of Stage-Structured Predator-Prey Model With Prey Refuge and Harvesting Involving Disease in Prey Population

“…Some studies that address the population contain the harvest, Brauer and Soudack [9] studied a predator-prey model under constant rate of harvesting. On other hand, there are many studies includes disease and proportional harvesting, Abdul Satar [19] studied a prey-predator model with disease SIS-type and harvesting on prey and predator, while Wuhaih [22] and Agnihotri [1] proposed a prey-predator model with disease SIS-type, SI-type and harvesting in prey only. In addition, many researchers have considered a predator-prey systems with nonlinear harvesting functions [11,15], while some of the studies using time delay with harvest were considered by Aiello and Freedman [2], and Rosen [17].…”

Dynamic Prey Predator Model and multiple forms of Harvest of Infected Prey

“…Harvesting is one of the means used to control disease and prevent its spread, but this method should be used with great care because misuse may expose species to extinction. There are many studied on this, [10] studied harvesting in prey predator model to form a controlled environment while ensuring the survival of species and continuation of harvest with controlled disease. Continuous harvesting in prey predator model in [9,11].…”

“…There are many studied on this, [10] studied harvesting in prey predator model to form a controlled environment while ensuring the survival of species and continuation of harvest with controlled disease. Continuous harvesting in prey predator model in [9,11]. The effect of harvesting as a nonlinear function was studied in [13].…”