Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
Chaofan Qian, Yuhui Hu
Abstract
Abstract In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on differential inequality techniques coupled with the Lyapunov function method, some criteria are demonstrated to guarantee the global attractivity of the addressed systems. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the obtain results.
Topics & Concepts
MathematicsNonlinear systemStability theoryApplied mathematicsLyapunov functionExponential stabilityStability (learning theory)Function (biology)Mathematical analysisComputer scienceMachine learningBiologyEvolutionary biologyPhysicsQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical SystemsNonlinear Differential Equations Analysis