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Published in:
2020 | OriginalPaper | Chapter
Effect of Habitat on Dynamic of Native and Exotic Prey–Predator Population
Authors : Namita Goel, Sudipa Chauhan, Sumit Kaur Bhatia
Published in: Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory
Publisher: Springer Singapore
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Abstract
In this paper, we have formulated a prey–predator interaction model with native species as predator and exotic species as prey. The population is also effected by the habitat. It is assumed that the prey population can invade a new environment due to the unsuccessful exploitation of the exotic prey by the native predators. The existence of the steady-state solution and boundedness of the system is obtained. Further, the local and global stability analysis of the steady-state solution is evaluated. Finally, the sensitivity analysis of the system is done based on two parameters A, i.e. (loss of habitat due to exotic prey) and r, i.e. (growth rate of Habitat).