Mathematical model of Cynodon Dactylon’s allelopathic effect on perennial ryegrass for exploring plant-plant interactions based upon ordinary differential equations

Abstract

In this paper, a mathematical model and analysis is proposed to study the stimulatory allelopathic impact of cynodon dactylon on perennial ryegrass using ordinary differential equations. Equilibrium points and biological interpretation is analyzed using the Routh-Hurwitz theorem. Allelopathic produces synergistic effects between two plants that can result in apparent competition for space, nutrients, water and growth of the plant or apparent organisms depending on how the life cycles of their shared exploiters and/or commensal are influenced by inducing morphological, physiological, biochemical and chemical changes in plants. Plants are competing for space, which is required for proper growth and development of roots. Based on spacing allelopathic effect is very less as space increases in respect of root length and root branches increase. These allelopathy biochemicals are used for pest management. Whenever the behaviors of exploiters and commensals respond to induce changes in comparative plant numbers, indirect -interactions among plants arise. The Mann-Kendall, MK test, Bartletts test, and Anova test is used to analyze the data and numerical simulation. Also, the main objective of this research article allelopathic impact of plant-to-plant interaction research plays an important role in climate action and life cycle on land.