Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808811120210421Stability and Permanency in a mathematical model for reciprocal effect of water resources and populationStability and Permanency in a mathematical model for reciprocal effect of water resources and population25391642310.22055/jamm.2020.30924.1754FAOmidRabieimotlaghassociate professor/Faculty of Mathematics and Statistics University of BirjandHajimohammadMohammadinejadUniversity of Birjand, Birjand, IranJournal Article20190902In this paper, we will introduce a mathematical model, based on prey-predator models, to study reciprocal effects of water resources and population. First, we will construct the model and introduce the parameters and variables of the system. Next we will study local behaviors around inner equilibrium points and global behaviors in the admissible region of the system. Especially we will see that how changes of the parameters might cause simultaneous permanency/impermanency of population and water resources through local bifurcations and changes in the structure of solutionsIn this paper, we will introduce a mathematical model, based on prey-predator models, to study reciprocal effects of water resources and population. First, we will construct the model and introduce the parameters and variables of the system. Next we will study local behaviors around inner equilibrium points and global behaviors in the admissible region of the system. Especially we will see that how changes of the parameters might cause simultaneous permanency/impermanency of population and water resources through local bifurcations and changes in the structure of solutionshttps://jamm.scu.ac.ir/article_16423_82cfc18082f2f6e058b5ecbd2d7b6243.pdf