Title of article
Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
Author/Authors
Prasad, K. R. Department of Applied Mathematics - College of Science and Technology - Andhra University, Visakhapatnam, India , Khuddush, M. Department of Applied Mathematics - College of Science and Technology - Andhra University, Visakhapatnam, India , Vidyasagar, K. V. Department of Applied Mathematics - College of Science and Technology - Andhra University, Visakhapatnam, India
Pages
18
From page
77
To page
94
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
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2020
Record number
2535585
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