Open AccessDynamics of Intra-guild Predation Model with Stage Structure in Prey
Author(s) -
Hukmah Hukmah,
Syamsuddin Toaha,
Jeffry Kusuma
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.v18i1.14362
Subject(s) - guild , predation , equilibrium point , population , functional response , stability (learning theory) , ecology , dynamics (music) , control theory (sociology) , mathematical economics , mathematics , predator , computer science , biology , physics , mathematical analysis , demography , artificial intelligence , control (management) , machine learning , sociology , habitat , differential equation , acoustics
The Intra-guild predation model is an interaction between three species where two of them compete and prey on each other for the same resource. This study considers the stage structure of prey on and combines Beddington-DeAngelis and Holling type I as functional responses in the model. Furthermore, the equilibrium point and stability of the model will be analyzed. The numerical result at the equilibrium point shows that the solution converging toward the equilibrium point so that the population is stable and will not become extinct with increasing time. In addition, the population tends to be stable when the density of prey is larger than the predator.