Stability and Permanency in a mathematical model for reciprocal effect of water resources and population

Document Type : Original Paper


1 associate professor/Faculty of Mathematics and Statistics University of Birjand

2 University of Birjand, Birjand, Iran


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


Main Subjects

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Volume 11, Issue 1
April 2021
Pages 25-39
  • Receive Date: 02 September 2019
  • Revise Date: 19 September 2020
  • Accept Date: 01 October 2020
  • First Publish Date: 19 January 2021