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Pest Control of Jatropha curcas Plant for Different Response Functions

  • Arunabha Sengupta
  • J. Chowdhury
  • Xianbing Cao
  • Priti Kumar RoyEmail author
Conference paper
  • 37 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 302)

Abstract

Nowadays Jatropha curcas plants are being considered as a renewable energy feedstock for the production of biodiesel to overcome the crisis of natural fuel. The seeds of this plant contain oil which is one of the significant resources for alternative fuel production i.e. biodiesel. Though Jatropha curcas plant is proven to be toxic to many insects and animals, it is not pest and disease resistant. On this regard our research article presents formulation and analysis of a mathematical model for Jatropha plantation with a view to control its natural pests through application of biological pesticide. We assume linear and hyperbolic functional responses of predator for susceptible pest, where for infected pest the functional response is linear, as infected pests are weaker than susceptible pest and easy to catch. We study the dynamics of the system around each of the ecological feasible equilibrium. The reduction of disease eradication and predator-pest coexistence are observed around the predator free and disease free equilibrium respectively.

Keywords

Jatropha curcas plant Biodiesel Pest control Stability Mathematical modeling Functional response Biological pesticide 

Notes

Acknowledgements

The research work is financially supported by DST-INSPIRE fellowship, Government of India, Department of Mathematics, Jadavpur University, Kolkata-700032, India.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Arunabha Sengupta
    • 1
  • J. Chowdhury
    • 1
  • Xianbing Cao
    • 2
  • Priti Kumar Roy
    • 1
    Email author
  1. 1.Centre for Mathematical Biology and Ecology, Department of MathematicsJadavpur UniversityKolkataIndia
  2. 2.College of ScienceBeijing Technology and Business UniversityBeijingChina

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