Prey-Predator Mathematical System Analysis through Lyapunov Function

Abstract

Pests are very important in crop production especially aphids are important pests which cannot be ignored in agriculture. The damage they cause to these crops as well as loss of yields can be extensive if not contained. However, to contain these pests, it is important to understand its dynamics in relation to its interaction with its natural enemies like the ladybird. In mathematics, the best tool that can be used to understand this prey-predator dynamics is the models which have different variables and parameters that represent the various aspects of the dynamics of the prey-predator system that we are interested in. In this study, we have therefore gone an extra mile to construct sets of mathematical models, by adjusting the function representing the prey-predator interaction