Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales

Author(s):

Mahammad Khuddush * , Kapula Rajendra Prasad , K. V. Vidyasagar

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.
Keywords:

Time scales , commensalism model , almost periodic solution , Uniform asymptotic stability‎

Language:
English
Published:
International Journal of Mathematical Modelling & Computations, Volume:10 Issue: 1, Winter 2020
Pages:
77 to 94
https://www.magiran.com/p2147036