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Article detail · 2022

Dynamical Behaviours of a Discretizated Model with Michaelis-Menten Harvesting Rate

Journal of Universal Mathematics

YÖKSİS OpenAlex Open access · diamond Citations 4 Percentile 71.0% FWCI 0.78
Year
2022
ISSN
2618-5660
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
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Abstract

English (OpenAlex)

In this paper, we introduced nonstandard finite difference scheme (NSFD) for solving the continuos model with Michaelis-Menten harvesting rate. We have seen that the proposed scheme preserve local stability and positivity. Stability analysis of each fixed point of the discrete time model has been proven. Also, numerical comparisons were made between the nonstandard finite difference method and the other methods.

Topics

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Fractional Differential Equations Solutions
  • Nonlinear Dynamics and Pattern Formation

Primary topic Mathematical and Theoretical Epidemiology and Ecology Models

Authors

  1. NİHAL ÖZDOĞAN BURSA TEKNİK ÜNİVERSİTESİ
  2. MEVLÜDE YAKIT ONGUN SÜLEYMAN DEMİREL ÜNİVERSİTESİ