Existence And Asymptotic Behavior Of Global Solution Of Chemotaxis Model With Dual Gradient Under Volume Filling

We consider the attraction-repulsion Keller-Segel system with volume-filling effect under homogeneous Neumann boundary conditions in a smooth boundary bounded domain Ω C Rn with n≥ 2. By using the energy method, we achieved the existence of global solution and asymptotic behavior of classical solution to the above system for various ranges of parameter values. Specifically, we prove that the classical solutions to the system with τ1= 0, τ2= 0,1 are bounded. Furthermore, if τ1= 0, τ2= 0 and β= δ, we obtain the asymptotic behavior of the system.