Dynamics of plant mosaic disease propagation and the usefulness of roguing as an alternative biological control |
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| Institution: | 1. Systems Ecology & Ecological Modelling Laboratory, Department of Zoology, Visva-Bharati University, Santiniketan, 731235, India;2. Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, 700032, India;1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, PR China;2. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, PR China;3. National Navel Orange Engineering Research Center, Gannan Normal University, Ganzhou 341000, PR China;1. Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata 700032, India;2. Systems Ecology & Ecological Modeling Laboratory, Department of Zoology, Visva-Bharati University, Shantiniketan 731235, India;1. Faculty of Earth and Life Sciences, VU University, de Boelelaan 1085, 1081 HV Amsterdam, The Netherlands;2. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy |
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| Abstract: | In this research article, an epidemiological model is formulated for mosaic disease considering plant and vector populations. Plant host population has been divided into three compartments namely healthy, latently infected and infected ones, and vector population is divided into two compartments: non-infective and infective vectors. The system possesses three equilibria: plant-only, disease-free and endemic equilibrium. Plant-only equilibrium is always unstable; disease-free equilibrium is stable when the basic reproduction number, R0, is less than unity and unstable for when it crosses unity, and ensure existence of an endemic equilibrium which may be stable or can undergo a Hopf bifurcation. Finally, impulse periodic roguing with varied rate and time interval is adopted for cost effective and eco-friendly disease control and future direction of agriculture management. The dynamics of the impulsive system has also been analysed. Detailed numerical simulations are employed to support the analytical results. We found that roguing is most cost effective and useful management for mosaic disease eradication of plants if applied at proper rate and interval. |
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