A Toy Biological Modelling Through a Delayed Rational Difference Equation

Adwitiya Chaudhuri; Sk. Sarif Hassan

doi:https://doi.org/10.14445/22315373/IJMTT-V47P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P518

A Toy Biological Modelling Through a Delayed Rational Difference Equation

Adwitiya Chaudhuri, Sk. Sarif Hassan

Citation :

Adwitiya Chaudhuri, Sk. Sarif Hassan, "A Toy Biological Modelling Through a Delayed Rational Difference Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 142-157, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P518

Abstract

In modelling of any biological systems, one of the important and fundamental issues is the depth of choice of detail. The relevance goes far beyond mathematical convenience to the heart of under- standing the mechanism, specifically, which details at one level are important to the determination of any phenomena at other levels and which can be ignored. The rational difference equations with delay surprisedly gained attention in modelling some of the complicated biological systems over last couple of decades.

Keywords

Bio-System Modelling, Rational difference equation, Local asymptotic stability, Chaotic trajectory and Periodicity.

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