THE GUAVA MODEL INVOLVING THE CONFORMABLE DERIVATIVE AND ITS MATHEMATICAL ANALYSIS

Kamyar Hosseini, Khadijeh Sadri, Mohammad Mirzazadeh (), Soheil Salahshour, Choonkil Park and Jung Rye Lee
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Kamyar Hosseini: Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran†Department of Mathematics, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey
Khadijeh Sadri: Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
Mohammad Mirzazadeh: ��Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P. C. 44891-63157 Rudsar-Vajargah, Iran
Soheil Salahshour: ��Department of Mathematics, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey§Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Choonkil Park: �Research Institute for Natural Sciences, Hanyang University, Seoul 04763, South Korea
Jung Rye Lee: ��Department of Data Science, Daejin University, Kyunggi 11159, South Korea

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-14

Abstract: A nonclassical model known as the guava model with the conformable derivative describing the interaction of guava pests and natural enemies is studied in this paper. To this end, first the Adams–Bashforth–Moulton predictor–corrector (ABM-PC) scheme is adopted to numerically solve the guava model with the conformable derivative such that its performance is examined using the finite-difference (FD) method. The truncation error of the ABM-PC scheme is then presented in a detailed way. The effect of the order of the conformable derivative on the dynamical characteristics of guava pests and natural enemies is investigated by considering a series of graphical representations. In the end, based on the results given in this study, it is shown which day is more beneficial to harvest the guava.

Keywords: Guava Model; Conformable Derivative; Adams–Bashforth–Moulton Predictor–Corrector Scheme; Finite Difference Method; Numerical Solution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401958

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