Abstract
Abstract
This paper examines a bionomic model of competing organisms in the presence of allelochemicals with differing time-dependent densities. A competition mathematical model is proposed in this paper. It is shown that when one plant produces an allelochemical, it gives stimulatory effect to itself and inhibitory effect to the other plant. Equilibrium points are calculated and stability analysis is performed about non-zero equilibrium point. Hopf-bifuraction is observed with the help of delay parameter introducing in term of allelochemicals. Model is verified with already existing data for the effect of allelochemical on plant growth by Zahid et.al (2016). The numerical results are substantiated using MATLAB.
Subject
General Physics and Astronomy
Reference21 articles.
1. Allelochemics: Chemical Interactions between Species
2. Actinomycetes inducing phytotoxic or fungistatic activity in a Douglas-fir forest and in an adjacent area of repeated regeneration failure in southwestern Oregon;Friedman;Biologia Plantarum,1989
3. Incidence of inhibitory pseudomonads in the Pacific Northwest;Cherrington;Plant and soil,1987
4. Antibacterial activity of naphthoquinones of plant origin Annales;Didry;pharmaceutiques françaises,1986
5. Weed control with organic mulches in apple orchards: effects on yield, fruit quality, and dynamics of nitrogen in soil solution;Niggli,1989
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献