<p>The rising demand for renewable biofuels has intensified interest in <i>Jatropha curcas</i> as a sustainable source of biodiesel. However, large-scale plantations are severely threatened by infestations of <i>Pempelia morosalis</i>, which drastically reduce biomass yield, while conventional chemical-based pest management strategies suffer from significant environmental and operational limitations. Motivated by the lack of mathematical studies on sterile insect technique (SIT)-based control for <i>Jatropha</i> plantations, we develop and analyze a comprehensive dynamical framework to evaluate the effectiveness of SIT as an eco-friendly pest management strategy. Three scenarios are investigated: a pest-infested system without intervention, a system with continuous sterile male release, and a system with periodic impulsive release. The proposed framework combines Normalized Spectral Sensitivity Analysis (NSSA), equilibrium and stability analysis, Hopf bifurcation, Floquet theory, and cost-effectiveness assessment to characterize the system dynamics and identify efficient control strategies. The results reveal the dominant parameters governing pest persistence, identify the mating rate as the critical Hopf bifurcation parameter, establish threshold conditions for pest suppression, and demonstrate that continuous SIT ensures global stability leading to pest eradication. Furthermore, numerical simulations together with ACER and ICER analyses show that although both SIT strategies effectively suppress pest populations and promote <i>Jatropha</i> biomass recovery, periodic impulsive releases provide a more economical and operationally feasible alternative. The findings offer a quantitative basis for designing sustainable SIT implementation strategies for long-term protection of <i>Jatropha curcas</i> plantations.</p>

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Dynamical investigation of a mathematical framework to assess the impact of SIT for pest-management in Jatropha Plantation

  • Sk Mosaraf Ahammed,
  • Salil Ghosh,
  • Satyajit Mukherjee,
  • Kunal Paul,
  • Priti Kumar Roy

摘要

The rising demand for renewable biofuels has intensified interest in Jatropha curcas as a sustainable source of biodiesel. However, large-scale plantations are severely threatened by infestations of Pempelia morosalis, which drastically reduce biomass yield, while conventional chemical-based pest management strategies suffer from significant environmental and operational limitations. Motivated by the lack of mathematical studies on sterile insect technique (SIT)-based control for Jatropha plantations, we develop and analyze a comprehensive dynamical framework to evaluate the effectiveness of SIT as an eco-friendly pest management strategy. Three scenarios are investigated: a pest-infested system without intervention, a system with continuous sterile male release, and a system with periodic impulsive release. The proposed framework combines Normalized Spectral Sensitivity Analysis (NSSA), equilibrium and stability analysis, Hopf bifurcation, Floquet theory, and cost-effectiveness assessment to characterize the system dynamics and identify efficient control strategies. The results reveal the dominant parameters governing pest persistence, identify the mating rate as the critical Hopf bifurcation parameter, establish threshold conditions for pest suppression, and demonstrate that continuous SIT ensures global stability leading to pest eradication. Furthermore, numerical simulations together with ACER and ICER analyses show that although both SIT strategies effectively suppress pest populations and promote Jatropha biomass recovery, periodic impulsive releases provide a more economical and operationally feasible alternative. The findings offer a quantitative basis for designing sustainable SIT implementation strategies for long-term protection of Jatropha curcas plantations.