Abstract
In this paper, we introduce Leslie-Gower predator-prey model with a stage-structure population on the predator. This model consists of two populations, that are prey and predator populations. Here, we divide predator into two stages. Thus, we have three classes of population in this model that are prey, juvenile predator, and mature predator. The focus of this paper is to know the interaction between the population that is affected by stage-structure in predator population in the model and to study numerically the effects of stage-structure in predator population on the interaction of prey and predator. It is found that the transition rate from juvenile to mature predator is a very important parameter which may determine the long-term behavior of both prey and predator. Keywords: Leslie-Gower model, predator-prey model, stage-structure.
Highlights
In this paper, we introduce Leslie-Gower predator-prey model with a stage-structure population on the predator
Many cases in life consider that the population dynamics depend on the stage-structure, e.g. juvenile and mature population
In 1990, Aiello and Freedman [5] studied the model of one species undergoing two stage. This model assumes that the average age of the mature population is expressed as a delay time constant, this implies the late birth of juvenile population and reduced juvenile population that turn into mature population
Summary
Leslie-Gower predator-prey model in Yu [3] is modified into Leslie-Gower predator-prey model with stage-structure on the predator. We modify Yu's predator-prey model [3] into a predator-prey model of Leslie-Gower with stage-structure on predator by adding the assumption that predator can be divided into two. Leslie-Gower Predator-Prey Model (Pratiwi et al) stages, that are juvenile predator and mature predator. Determining Equilibrium Points The equilibrium point is the solution of a model that has a constant value, which can be determined by solving: Numerical Simulation Numerical simulations are performed to present the interaction of each population in the system (1) and (2). Several different transition rate values are used to determine the effect of stage-structure on the model. Simulations are done by solving the model using the 4th order Runga Kutta method [8]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
