Effects of a Degeneracy in the Competition Model Part II.: Perturbation and Dynamical Behaviour

摘要: This is the second part of our study on competition model where coefficient functions are strictly positive over underlying spatial region Ω except b(x), which vanishes in a nontrivial subdomain Ω, and rest Ω. In I, we mainly discussed existence two kinds steady-state solutions this system, namely, classical steady-states generalized steady-states. Here use these to determine dynamics model. We do with help perturbed b(x) replaced by b(x)+e, itself approach also reveals interesting relationship between (both generalized) above system that system.