Open AccessDynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response
Author(s) -
Nur Suci Ramadhani,
Toaha Toaha,
Kasbawati Kasbawati
Publication year - 2021
Publication title -
jurnal matematika, statistika dan komputasi/jurnal matematika statistik dan komputasi
Language(s) - English
Resource type - Journals
eISSN - 2614-8811
pISSN - 1858-1382
DOI - 10.20956/j.v18i1.13881
Subject(s) - predation , functional response , population , equilibrium point , predator , stability (learning theory) , mathematics , density dependence , type (biology) , mathematical economics , control theory (sociology) , statistical physics , ecology , biology , computer science , mathematical analysis , physics , demography , artificial intelligence , control (management) , machine learning , sociology , differential equation
In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.