Open AccessA Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey
Author(s) -
Hiba Abdullah Ibrahim,
Raid Kamel Naji
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.5.23
Subject(s) - predation , predator , uniqueness , mathematics , bifurcation , type (biology) , epidemic model , persistence (discontinuity) , ecology , control theory (sociology) , mathematical economics , biology , mathematical analysis , computer science , demography , artificial intelligence , physics , nonlinear system , population , geotechnical engineering , engineering , control (management) , quantum mechanics , sociology
A prey-predator model with Michael Mentence type of predator harvesting and infectious disease in prey is studied. The existence, uniqueness and boundedness of the solution of the model are investigated. The dynamical behavior of the system is studied locally as well as globally. The persistence conditions of the system are established. Local bifurcation near each of the equilibrium points is investigated. Finally, numerical simulations are given to show our obtained analytical results.