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Influence of competition in modelling dynamics of plant defense with induced volatile

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Abstract

Being sessile organism, plants have to deal with environmental stresses like herbivore attack, competition with neighboring plants in different ways. Plant produced volatile plays a major role in plant defense. After herbivore attack, plant induced volatile attracts the natural enemies of herbivore. So, natural enemies enter the plant herbivore system. There are lots of works on growth and defense for individual plants whereas it is essential to analysis the trade-off between growth and defense in context of plant as a member of plant community. In this paper we address the effect of plant–plant competition and herbivore induced volatile in four species plant–herbivore–carnivore system. We outline the various role of volatile in plant competition and defense. Besides local stability, we also study the global behavior at the densities of all population at equilibrium point. We discuss the conditions for long term survival of all population. We analyze different types of bifurcations at the various steady states. Finally, numerical simulations are carried out to illustrate our obtained results.

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Acknowledgements

This research of Ritwika Mondal was supported by DST/INSPIRE Fellowship/2015/IF 150747. The authors are grateful to the anonymous reviewers for their helpful comments and suggestions for improving the paper.

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Authors and Affiliations

  1. Department of Mathematics, Centre for Mathematical Biology and Ecology, Jadavpur University, Kolkata, 700032, India

    Ritwika Mondal & Dipak Kesh

  2. Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata, 700063, India

    Debasis Mukherjee

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  1. Ritwika Mondal
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  2. Dipak Kesh
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  3. Debasis Mukherjee
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Correspondence to Debasis Mukherjee.

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Mondal, R., Kesh, D. & Mukherjee, D. Influence of competition in modelling dynamics of plant defense with induced volatile. Model. Earth Syst. Environ. 4, 1197–1211 (2018). https://doi.org/10.1007/s40808-018-0481-6

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