<p>Continuous threat from unwanted pests and diseases is a major challenge in crop fields. The implementation of Volatile organic compounds (VOCs) is a potential defense mechanism adopted in sustainable agriculture. VOCs send signals to natural enemies to locate their herbivorous prey (pest). Such beneficial role of natural enemies in plant-pest interaction may be an alternation of chemical pesticides in the cultivated fields. To explore the promising role of VOCs as reinforcement against pests, we propose a Lotka-Volterra type susceptible-infectious model of plant-pest-natural enemies interactions. Throughout the paper, we will explain how to improve plant protection by natural chemical cues and plant fitness. Moreover, we discuss a detailed analysis of complex emerging states to illustrate the underlying mechanism of VOCs-induced plant indirect defense. Analytically, we obtain basic reproduction number to show the stability condition of the endemic and disease-free equilibrium. Furthermore, we show the global stability of endemic equilibrium using high-dimensional Bendixson criterion. We approach bifurcation theory to understand the evolutionary dynamics of the proposed eco-epidemic model. The system experiences transcritical bifurcation which supports the invasibility changes between susceptible and infected plants. Occurrence of Hopf-bifurcation demonstarte the changes of emergent states between stable steady states and cyclic regularities. Numerical simulation depicts the analytical finding for a set of system parameters.</p>

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Dynamical study on volatiles signaling in plant disease and pest-natural enemy interaction

  • Ritwika Mondal,
  • Yasuhiro Takeuchi,
  • Dipak Kesh,
  • Debasis Mukherjee

摘要

Continuous threat from unwanted pests and diseases is a major challenge in crop fields. The implementation of Volatile organic compounds (VOCs) is a potential defense mechanism adopted in sustainable agriculture. VOCs send signals to natural enemies to locate their herbivorous prey (pest). Such beneficial role of natural enemies in plant-pest interaction may be an alternation of chemical pesticides in the cultivated fields. To explore the promising role of VOCs as reinforcement against pests, we propose a Lotka-Volterra type susceptible-infectious model of plant-pest-natural enemies interactions. Throughout the paper, we will explain how to improve plant protection by natural chemical cues and plant fitness. Moreover, we discuss a detailed analysis of complex emerging states to illustrate the underlying mechanism of VOCs-induced plant indirect defense. Analytically, we obtain basic reproduction number to show the stability condition of the endemic and disease-free equilibrium. Furthermore, we show the global stability of endemic equilibrium using high-dimensional Bendixson criterion. We approach bifurcation theory to understand the evolutionary dynamics of the proposed eco-epidemic model. The system experiences transcritical bifurcation which supports the invasibility changes between susceptible and infected plants. Occurrence of Hopf-bifurcation demonstarte the changes of emergent states between stable steady states and cyclic regularities. Numerical simulation depicts the analytical finding for a set of system parameters.