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Related Experiment Video

Updated: Jun 8, 2025

Author Spotlight: Eco-Friendly Pest Management Using Entomopathogenic Fungi Against Mustard Aphids
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Self-financing model for cabbage crops with pest management.

Aurelien Kambeu Youmbi1, Suzanne Touzeau2, Frédéric Grognard3

  • 1Department of Mathematics and Computer Science, URMA, University of Dschang, P.O. Box 67 Dschang, Cameroon; Université Côte d'Azur, INRAE, ISA, France.

Mathematical Biosciences
|November 1, 2024
PubMed
Summary

This study models sustainable cabbage farming, showing how farmer budgets impact yield and income. It reveals that botanical pesticides can manage pests affordably, ensuring farm viability.

Keywords:
Botanical pesticideDynamic systemPlutella xylostellaReproductive numberSelf-financing smallholderVegetable crop

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Area of Science:

  • Agricultural Economics
  • Mathematical Biology
  • Ecology

Background:

  • Smallholder farmers face financial challenges due to pests reducing crop yields and increasing protection costs.
  • Farm profitability is directly linked to a farmer's budget capacity for yield enhancement and pest management.

Purpose of the Study:

  • To explore conditions for a sustainable and self-financing cabbage farm.
  • To develop and analyze a non-linear mathematical model for cabbage crop economics.

Main Methods:

  • A non-linear mathematical model was developed, treating the farm's current account as a dynamic variable.
  • The model was analyzed in two parts: without pest management and with a simplified version incorporating pest control.
  • Bifurcation analysis was used to understand model dynamics and stability.

Main Results:

  • Without pest management, the model identified conditions for budget allocation and showed a double transcritical bifurcation, quantifying yield, income, and pest damage.
  • With pest management, a backward bifurcation was observed, indicating complex dynamics.
  • Botanical pesticides were identified as a viable strategy for cost-effective pest control.

Conclusions:

  • Mathematical modeling provides insights into the economic sustainability of smallholder farms.
  • Integrated pest management strategies, like using botanical pesticides, are crucial for maintaining farm viability and profitability.
  • The study highlights the importance of financial management and pest control in ensuring self-financing agricultural operations.