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THE GUAVA MODEL INVOLVING THE CONFORMABLE DERIVATIVE AND ITS MATHEMATICAL ANALYSISopen access
- Authors
- Hosseini, Kamyar; Sadri, Khadijeh; Mirzazadeh, Mohammad; Salahshour, Soheil; Park, Choonkil; Lee, Jung Rye
- Issue Date
- Dec-2022
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Guava Model; Conformable Derivative; Adams-Bashforth-Moulton Predictor-Corrector Scheme; Finite Difference Method; Numerical Solution
- Citation
- FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, v.30, no.10, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Volume
- 30
- Number
- 10
- Start Page
- 1
- End Page
- 14
- ISSN
- 0218-348X
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)