Permanence and exponential stability for generalised nonautonomous Nicholson systems
Teresa Faria
2021Electronic journal of qualitative theory of differential equations10 citationsDOIOpen Access PDF
Abstract
The paper is concerned with nonautonomous generalised Nicholson systems under conditions which imply their permanence: by refining the assumptions for permanence, explicit lower and upper uniform bounds for all positive solutions are provided, as well as criteria for the global exponential stability of these systems. In particular, for periodic systems, conditions for the existence of a globally exponentially attractive positive periodic solution are derived.
Topics & Concepts
MathematicsExponential dichotomyExponential stabilityApplied mathematicsStability (learning theory)Exponential functionExponential growthMathematical analysisNonlinear systemDifferential equationComputer scienceQuantum mechanicsMachine learningPhysicsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical SystemsQuantum chaos and dynamical systems