Open AccessDynamical Behavior of an eco-epidemiological Model involving Disease in predator and stage structure in prey
Author(s) -
Lina Shihab Ahmed,
Hassan Fadhil Al Husseiny
Publication year - 2019
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.2019.60.8.14
Subject(s) - uniqueness , bounded function , stability (learning theory) , predation , stage (stratigraphy) , steady state (chemistry) , mathematics , equilibrium point , predator , control theory (sociology) , mathematical economics , ecology , mathematical analysis , biology , computer science , differential equation , chemistry , artificial intelligence , paleontology , control (management) , machine learning
An eco-epidemic model is proposed in this paper. It is assumed that there is a stage structure in prey and disease in predator. Existence, uniqueness and bounded-ness of the solution for the system are studied. The existence of each possible steady state points is discussed. The local condition for stability near each steady state point is investigated. Finally, global dynamics of the proposed model is studied numerically.