This article revisits the stability property of a symbiotic model commensalism with Michaelis–Menten type harvesting in first commensal populations. By constructing some suitable Lyapunov functions, we provide thorough analysis dynamic behaviors subsystem composed second and third species. After that, by applying results this combining differential inequality theory, sufficient conditions which...

This paper suggests and analyses a model consisting of two commensal populations with Michaelis-Menten type harvesting for the first population. The harvested species draws strength from second hosted species. overall dynamics are provided to achieve coexistence, stability persistence equilibrium points proposed system. local bifurcation near positive point is attained. Moreover, numerical simu...

Predation pressure has long been considered a leading explanation of colonies, where close neighbors may reduce predation via dilution, alarming or group predator attacks. Attacking predators may be costly in terms of energy and survival, leading to the question of how neighbors contribute to predator deterrence in relationship to each other. Two hypotheses explaining the relative efforts made ...