10.71932/

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

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  • Mahammad Khuddush1,
  • Kapula Rajendra Prasad2,
  • K. V. Vidyasagar1,
  1. Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India-530003
  2. Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, India-53000

Published in Issue 12-07-2025

Copyright (c) 2025 Mahammad Khuddush, Kapula Rajendra Prasad, K. V. Vidyasagar (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Khuddush, M., Rajendra Prasad, K., & Vidyasagar, K. V. (2025). Permanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales. International Journal of Mathematical Modelling & Computations, 10(01). https://doi.org/10.71932/
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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
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References

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