Open AccessThe Dynamical Behavior of Stage Structured Prey-Predator Model in the Harvesting and Toxin Presence
Author(s) -
Azhar Abbas Majeed,
Moayad H. Ismaeel
Publication year - 2019
Publication title -
xi'nan jiaotong daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 21
ISSN - 0258-2724
DOI - 10.35741/issn.0258-2724.54.6.5
Subject(s) - uniqueness , stability (learning theory) , lyapunov function , mathematics , control theory (sociology) , predation , stage (stratigraphy) , point (geometry) , predator , biological system , equilibrium point , computer science , ecology , biology , mathematical analysis , artificial intelligence , control (management) , physics , machine learning , geometry , differential equation , nonlinear system , quantum mechanics , paleontology
In this study, a mathematical model that consists of a form of prey-predator system with stage structure in the presence of harvesting and toxicity has been proposed and studied by using the classic Lotka-Volterra functional response. The presence, uniqueness, and boundedness resolution of the suggested model are discussed. The steadiness enquiries of all possible stability points tare studied. The global steadiness of these stability points are accomplished by fitting Lyapunov functions. As a final point, numerical models are put through not just for conforming tthe hypothetical results attained, but also to demonstrate the influences of distinction of each factor on the suggested paradigm.