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<p>Farmers can obtain maximum production by cultivating plants in the tropics, making it convenient for them to estimate the optimal season for growing crops. Recent observations indicate that seasonal patterns have become increasingly irregular. Besides, there is found to be an abundant loss of crop production due to the ill effects of pathogens that insects carry. The farming of red chili plants is one of the main instances. It is found that the geminivirus (yellow virus) is the main cause of the low productivity of red chili plants. This virus propagates to plants via white fly insects (<i>Bemisia tabaci</i>). So, this article studies the problem in the Caputo-Fabrizio frame of the mathematical model with fractional order <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\zeta\)</EquationSource> </InlineEquation>. The effects of the geminivirus are studied and are also analyzed the behavior of the model under the impact of different values of Dp (<i>Verticillium lecanii</i>) with fractional order <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\zeta\)</EquationSource> </InlineEquation>. The model’s existence and uniqueness are given by the Picard–Lindelöf scheme. The two numerical schemes are discussed which are the new Predictor-Corrector method and the three-step fractional Adams-Bashforth method to evaluate the given model’s solution. The graphical outcomes of the proposed numerical schemes show acceptable results.</p>

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Study of Geminivirus Infection in Red Chili Plants via Non-singular Fractional Operator

  • 期刊论文

  • 发表日期：

    2026年7月3日

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  • Anil Kumar,
  • Pawan Kumar Shaw,
  • Sunil Kumar

摘要

Farmers can obtain maximum production by cultivating plants in the tropics, making it convenient for them to estimate the optimal season for growing crops. Recent observations indicate that seasonal patterns have become increasingly irregular. Besides, there is found to be an abundant loss of crop production due to the ill effects of pathogens that insects carry. The farming of red chili plants is one of the main instances. It is found that the geminivirus (yellow virus) is the main cause of the low productivity of red chili plants. This virus propagates to plants via white fly insects (Bemisia tabaci). So, this article studies the problem in the Caputo-Fabrizio frame of the mathematical model with fractional order \(\zeta\) . The effects of the geminivirus are studied and are also analyzed the behavior of the model under the impact of different values of Dp (Verticillium lecanii) with fractional order \(\zeta\) . The model’s existence and uniqueness are given by the Picard–Lindelöf scheme. The two numerical schemes are discussed which are the new Predictor-Corrector method and the three-step fractional Adams-Bashforth method to evaluate the given model’s solution. The graphical outcomes of the proposed numerical schemes show acceptable results.