Dynamics of tritrophic interaction with volatile compounds in plants
Dynamical Systems
2020-11-20 v3 Populations and Evolution
Abstract
In this paper we will consider a mathematical model that describes, the tritrophic interaction between plants, herbivores and their natural enemies, where volatiles organic compounds (VOCs) released by plants play an important role. We show positivity and boundedness of the system solutions, existence of positive equilibrium and its local stability, we analyse global stability of positive equilibrium via the geometrical approach of Li and Muldowney. We pay attention to parameters in order to discuss different types of bifurcations. Finally, we present some numerical simulations to justify our analytical results.
Keywords
Cite
@article{arxiv.2003.07941,
title = {Dynamics of tritrophic interaction with volatile compounds in plants},
author = {Arturo J. Nic May and Eric J. Avila Vales},
journal= {arXiv preprint arXiv:2003.07941},
year = {2020}
}
Comments
18 pages, 10 figures, minor corrections, we modify the proof of theorem 3