Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 37, Issue 2, Pages 1673-1692Publisher
WILEY
DOI: 10.1002/num.22603
Keywords
Adam– Bashforth– Moulton method; Caputo fractional derivative; chaotic behavior; fractional model of host– parasitiod model; Toufik– Atangana method
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Funding
- National Plan for Science, Technology and Innovation [RSP-2020/4]
- SERB, DST, Government of India [EEQ/2017/000385]
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The study proposed a fractional model of host-parasitoid population dynamical system and explored the possibility of new chaotic behaviors using a fractional singular operator. Two numerical schemes were suggested to solve the fractional host-parasitoid population, and efficiency assessment was conducted through numerical simulations.
The parasitoid is a broad evolutionary association of hymenopteran insects which are well-known as biological control agents. Parasites are different from predators because parasites only take resources from one host, whereas predators eat many preys. The preeminent target of this study is to present a fractional model of host-parasitoid population dynamical system through the Caputo operator. The host-parasitoid population dynamical model is a system of three dimensional coupled differential equations. This research also investigates the possibility for obtaining new chaotic behaviors with singular fractional operator and shows the chaotic behavior at different values of fractional order. Furthermore, two numerical schemes Adam-Bashforth-Moulton and new Toufik-Atangana mechanism were suggested to solve fractional host-parasitoid population numerically. Again, some numerical simulations are perform to assess the efficiency of the newly proposed method. Some attractive illustration is presented through graphically. We strongly believe that the proposed work will open various new doors of investigations toward modeling on parasitoid.
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