Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
Guoqiang Ren, Bin Liu
Abstract
In this work, we consider the two-species chemotaxis system with Lotka–Volterra competitive kinetics in a bounded domain with smooth boundary. We construct weak solutions and prove that they become smooth after some waiting time. In addition, the asymptotic behavior of the solutions is studied. Our results generalize some well-known results in the literature.
Topics & Concepts
Bounded functionChemotaxisDomain (mathematical analysis)MathematicsVolterra equationsWork (physics)Boundary (topology)Construct (python library)Applied mathematicsKineticsMathematical analysisPhysicsComputer scienceNonlinear systemThermodynamicsClassical mechanicsChemistryQuantum mechanicsBiochemistryProgramming languageReceptorMathematical Biology Tumor GrowthGene Regulatory Network AnalysisCellular Mechanics and Interactions