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Effect of Habitat on Dynamic of Native and Exotic Prey–Predator Population

  • Namita Goel
  • Sudipa ChauhanEmail author
  • Sumit Kaur Bhatia
Conference paper
  • 44 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 307)

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).

Keywords

Habitat Native species Exotic species Local stability Global stability 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Namita Goel
    • 1
  • Sudipa Chauhan
    • 1
    Email author
  • Sumit Kaur Bhatia
    • 1
  1. 1.Department of Applied MathematicsAmity UniversityNoidaIndia

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