Dynamics of One-prey and Two-predator System Highlighting the Significance of Additional Food for Predators with Beddington–DeAngelis Functional Response

Role of additional food to predators is significant to retain biological balance for an improved ecosystem. Much attempts have been performed from the aspects of biological control and its consequences on global warming is investigated. Work has been done exhibiting the implication of mutual interference in stabilising the prey predator system which has a phenomenal impact on the dynamics of the system. In the proposed model, dynamics of additional food to predators on one-prey and two-predator system with Beddington–DeAngelis functional response is investigated. The proposed system also throws light on the role of mutual interference in predators and it differentiates the predators on the basis of the characteristic of consuming the additional food or to be solely dependent on preys for survival. Both local and global stability analysis of the system has been performed and at the end, numerical simulation is carried out which signifies the effect of changing the additional food parameters on the dynamics.