Uniqueness and exponential stability of almost periodic positive solution for Lasota‐Wazewska model with impulse and infinite delay

DOI10.1002/mma.3098zbMath1323.34082OpenAlexW2146373722MaRDI QIDQ5177006

Zhijian Yao

Publication date: 5 March 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3098

zbMATH Keywords

uniquenessexponential stabilityinfinite delayalmost periodic solutionfixed point theoremimpulsive Lasota-Wazewska model

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20)

Related Items

Almost automorphic delayed differential equations and Lasota-Wazewska model ⋮ Modelling and almost periodic processes in impulsive Lasota-Wazewska equations of fractional order with time-varying delays

Cites Work

• Linearized oscillations in population dynamics
• Almost periodic differential equations
• Global attractivity in population dynamics
• Existence and global attractivity of positive periodic solutions of functional differential equations with impulses
• Periodicity in mutualism systems with impulse
• Existence and global attractivity of positive periodic solution of an impulsive delay differential equation
• Oscillation and Global Attractivity in a Periodic Delay Equation
• Global existence of positive periodic solutions of periodic predator-prey systems with infinite delays
• Unnamed Item

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