Mutualistic Interactions Leading to Coexistence in Competitive Ecological Communities: Mathematical Approach and Simulation Studies

Abstract

The emerging industrial advancement and unlimited need of humans of our planet have created the problem of the ecological imbalance. The capacity to utilize the resource, which enabled the primitive man to survive, gradually attains multiple dimensions, tends to threaten the life support systems. In this article, we are concerned with the contemporary ecological issue, of coexistence in a competitive ecological community. In addition to usual dynamical behaviors, the simulation studied has also been made to support the mathematical results. A threshold value, depending upon conversion efficiency and the competition intensity of rivals have been calculated to ensure the coexistence of the system.