Open AccessStability analysis of prey predator model Holling type II with infected prey
Author(s) -
K. Latipah,
Arrival Rince Putri,
Mahdhivan Syafwan
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1554/1/012038
Subject(s) - jacobian matrix and determinant , eigenvalues and eigenvectors , mathematics , ordinary differential equation , stability (learning theory) , type (biology) , functional response , predation , nonlinear system , population , phase plane , liapunov function , control theory (sociology) , differential equation , mathematical analysis , predator , physics , biology , ecology , computer science , demography , control (management) , quantum mechanics , machine learning , sociology , artificial intelligence
We describe a prey-predator model with infected prey. The model using Holling response function of type II is a nonlinear system of ordinary differential equations consisting of two distinct population. Critical points of the model was determined and stability of the system was analyzed by eigenvalues of Jacobian matrix. The behaviour of the dynamical system was analyzed through this stability. Furthermore, threshold number determining the system is free of disease or infected was computed. Numerical solutions are presented on phase plane to confirm the analytical solutions.