Habitat Destruction and Restoration in Relation to Extinction and Survival of Species in Competitive Communities

We studied the N-species competitive coexistence model with direct effect on habitat destruction to analyze behaviors of abundant and extinct species in system caused by loss. The nontrivial equilibrium points are determined for a general function. For trivial equilibrium, that survived identified using eigenvalues Jacobian matrix. Solutions also presented recursive method. Three special cases functions addressed: continuous destruction, which is typical destruction; sudden similar natural phenomena such as earthquakes or floods; aftershocks. proportional abundances 50 numerically portrayed each case. found survival guaranteed if its corresponding eigenvalue positive. However, fact has negative does not guarantee extinction, this depends initial number species.