An Almost Periodic Lasota-Wazewska Dynamic Model on Time Scales

Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 1

Abstract

This paper deals with almost periodicity of Lasota-Wazewska dynamic equation on time scales. By applying a method based on the fixed point theorem of decreasing operator, we establish sufficient conditions for the existence of a unique almost periodic positive solution. We also give iterative sequence which converges to almost periodic positive solution. Moreover, we investigate the exponential stability of almost periodic solution by means of Gronwall inequality. Our study unifies differential and difference equations.

Authors and Affiliations

Zhijian Yao

Keywords

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  • EP ID EP463330
  • DOI 10.34198/ejms.1119.1732
  • Views 219
  • Downloads 0

How To Cite

Zhijian Yao (2019). An Almost Periodic Lasota-Wazewska Dynamic Model on Time Scales. Earthline Journal of Mathematical Sciences, 1(1), 17-32. https://europub.co.uk/articles/-A-463330