Nonlinear Phenomena in Complex Systems, 2021, Vol.24, No.4, pp.382-390

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2021, Vol.24, No.4, pp.382-390

Comparison Between Different Growth Functions of the Jatropha Curcas Plant with Random Attack Pattern of Whitefly

Roshmi Das and Ashis Kumar Sarkar

We have proposed here two deterministic models of Jatropha Curcas plant and Whitefly that simulate the dynamics of interaction between them where the distribution of Whitefly on plant follows Poisson distribution.In the first model growth rate of the plant is assumed to be in logistic form whereas in the second model it is taken as exponential form. The attack pattern and the growth of the whitefly are assumed as Holling type II function.The first model results a globally stable state and in the second one we find a globally attracting steady state for some parameter values,and a stable limit cycle for some other parameter values. It is also shown that there exist Hopf bifurcation with respect to some parameter values. The paper also discusses the question about persistence and permanence of the model. It is found that the specific growth rate of both the population and attack pattern of the whitefly governs the dynamics of both the models.

Key words: jatropha curcas plant, whitefly (bemisia tabaci), random attack, global stability, limit cycle & Hopf bifurcation analysis

DOI: https://doi.org/10.33581/1561-4085-2021-24-4-382-390

Full text: Acrobat PDF (1144 KB)