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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