Analysis of fractional model of guava for biological pest control with memory effect
| Autor: | Devendra Kumar, Behzad Ganbari, Dumitru Baleanu, Jagdev Singh |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0301 basic medicine
Medicine (General) Science (General) Fractional model Equilibrium points Existence and uniqueness Article Guava borers Q1-390 03 medical and health sciences R5-920 0302 clinical medicine Animals Humans Applied mathematics Uniqueness Natural enemies Pest Control Biological ComputingMethodologies_COMPUTERGRAPHICS Mathematics Equilibrium point Psidium Multidisciplinary Guava Fruit Stability analysis Numerical Analysis Computer-Assisted Models Theoretical Fractional calculus Nonlinear system Prey-predator 030104 developmental biology Predatory Behavior 030220 oncology & carcinogenesis Kernel (statistics) Fractional guava model |
| Zdroj: | Journal of Advanced Research Journal of Advanced Research, Vol 32, Iss, Pp 99-108 (2021) |
| ISSN: | 2090-1232 |
| DOI: | 10.1016/j.jare.2020.12.004 |
| Popis: | Graphical abstract Highlights • A fractional guava fruit model with memory effect is developed. • Stability of the fractional model is discussed. • Existence and uniqueness of the solution is examined. • A numerical method is applied for numerical simulation. • Effect of various parameters is analyzed on guava borers and natural enemies. Introduction Fractional operators find their applications in several scientific and engineering processes. We consider a fractional guava fruit model involving a non-local additionally non-singular fractional derivative for the interaction into guava pests and natural enemies. The fractional guava fruit model is considered as a Lotka-Volterra nature. Objectives The main objective of this work is to study a guava fruit model associated with a non-local additionally non-singular fractional derivative for the interaction into guava pests and natural enemies. Methods Existence and uniqueness analysis of the solution is evaluated effectively by using Picard Lindelof approach. An approximate numerical solution of the fractional guava fruit problem is obtained via a numerical scheme. Results The positivity analysis and equilibrium analysis for the fractional guava fruit model is discussed. The numerical results are demonstrated to prove our theoretical results. The graphical behavior of solution of the fractional guava problem at the distinct fractional order values and at various parameters is discussed. Conclusion The graphical behavior of solution of the fractional guava problem at the distinct fractional order values and at various parameters shows new vista and interesting phenomena of the model. The results are indicating that the fractional approach with non-singular kernel plays an important role in the study of different scientific problems. The suggested numerical scheme is very efficient for solving nonlinear fractional models of physical importance. |
| Databáze: | OpenAIRE |
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