Vol. 9 No. 1 (2025): Vol 9, Iss 1, Year 2025
Articles

Asymptotic Analysis of a Two-Species Higher Order Rational Difference Model with Cross-Species Dependence

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  • Sibi C. Babu,
  • Smitha Mary Mathew
Sibi C. Babu
Post Graduate Department of Mathematics, St.John’s College, Anchal, Kollam, Kerala, India-691 306
Smitha Mary Mathew
Post Graduate Department of Mathematics, St.John’s College, Anchal, Kollam, Kerala, India-691 306.
DOI: https://doi.org/10.26524/cm208
Published June 16, 2025
Keywords
  • Difference equations, System, Boundedness, Persistence, Equilibrium point, Asymptotic behavior, Global asymptotic stability, Bifurcation.
How to Cite
Sibi C. Babu, & Smitha Mary Mathew. (2025). Asymptotic Analysis of a Two-Species Higher Order Rational Difference Model with Cross-Species Dependence. Journal of Computational Mathematica, 9(1), 151-166. https://doi.org/10.26524/cm208

Abstract

In this study, we analyze the asymptotic stability, persistence, and bounded behavior of the solutions to a system of higher-order rational difference equations. The model consists of two species, where the population of the first species in the n-th and (n − k)-th generations, along with the population of the second species in the n-th and (n − 1)-th generations, influences the growth of the first species. Similarly, the growth of the second species is determined by the population of the second species in the n-th and (n − k)-th generations, along with the population of the first species in the n-th and (n − 1)-th generations.

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