Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus

Farmers are trying to adopt new cultivation methods and technologies to produce more and good yield. Low productivity is due to a variety of factors; one of the main reasons is the existence of plant diseases spread by insects and pathogens. Infection in the plants of red chilli via the yellow virus...

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Vydané v:The European physical journal. ST, Special topics Ročník 232; číslo 14-15; s. 2497 - 2512
Hlavní autori: Jan, Asif, Boulaaras, Salah, Abdullah, Farah Aini, Jan, Rashid
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023
Springer Nature B.V
Predmet:
Atomic
Banach spaces
Biological effects
Calculus
Classical and Continuum Physics
Condensed Matter Physics
Epidemics
Equilibrium
Fixed points (mathematics)
Flowers & plants
Fractional calculus
Infections
Insects
Investigations
Materials Science
Mathematical models
Measurement Science and Instrumentation
Molecular
Numerical analysis
Numerical methods
Optical and Plasma Physics
Pathogens
Physics
Physics and Astronomy
Plant diseases
Preventive maintenance
Qualitative analysis
Recent Advancement of Fractional-Calculus and Its Applications in Physical Systems
Regular Article
Viruses
ISSN:1951-6355, 1951-6401
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Popis
Shrnutí:Farmers are trying to adopt new cultivation methods and technologies to produce more and good yield. Low productivity is due to a variety of factors; one of the main reasons is the existence of plant diseases spread by insects and pathogens. Infection in the plants of red chilli via the yellow virus is a current issue for the farmers. Here, we construct a model for the propagation of the yellow virus in the plants of red chilli to investigate the key factors. The proposed model is then presented in the framework of fractional derivative for more accurate findings. By applying the method of next-generation matrix, we determine the basic reproduction number R 0 . The recommended model is investigated for biological meaningful results. Moreover, we focus on the dynamical behavior and qualitative analysis of the yellow virus infection in the plants of red chili. Schaefer and Banach fixed-point theorems are utilized to demonstrate the uniqueness and existence of the solution of the recommended system. We find suitable circumstances for the Ulam–Hyers stability of the recommended system of plants infection. The solution routes are examined using a unique numerical method to highlight the contribution of the input factors on yellow virus dynamics. Key factors of the system are investigated numerically through different simulations. The most critical factors of the infection are highlighted to the policymakers for the prevention of the losses.
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ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-023-00926-1