%0 Journal Article
%T Stability and Permanency in a mathematical model for reciprocal effect of water resources and population
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A rabieimotlagh, omid
%A Mohammadinejad, Hajimohammad
%D 2021
%\ 04/21/2021
%V 11
%N 1
%P 25-39
%! Stability and Permanency in a mathematical model for reciprocal effect of water resources and population
%K Permanency
%K Prey-Predator systems
%K local bifurcations
%K Water resources
%R 10.22055/jamm.2020.30924.1754
%X In 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 solutions
%U https://jamm.scu.ac.ir/article_16423_82cfc18082f2f6e058b5ecbd2d7b6243.pdf