A Different Discrezation Scheme for a Model with Michaelis-Menten Harvesting Rate

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Özdoğan N., Yakıt Ongun M.

Eighth International Conference on Intuitionistic Fuzzy Sets and Contemporary Mathematics (IFSCOM-2022), Mersin, Turkey, 16 - 19 June 2022, pp.163, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Mersin
  • Country: Turkey
  • Page Numbers: pp.163
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, the ratio dependent continuous model with Michaelis-Menten harvesting rate was discretized using nonstandard finite difference scheme (NSFD). The new method preserves both the local stability of the equilibrium points and the positivity of the solutions. Also, the NSFD method shows dynamic consistency with the proposed continuous predator-prey model. However, due to the difficulty of solving such models, the behaviour of numerical solutions have been examined. The phase portrait and solution graphics of the discretized model are shown.