GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON’S BLOWFLIES SYSTEM WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERMS AND PATCH STRUCTURE

DOI10.3846/13926292.2017.1329171zbMath1488.92050OpenAlexW2731258983WikidataQ115484116 ScholiaQ115484116MaRDI QIDQ5015467

Liang Zhang, Shitao Liu, Pengyan Liu, Li-Fei Zheng

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1329171

zbMATH Keywords

almost periodic solutionglobal exponential stabilitypatch structurenonlinear density-dependent mortality termNicholson's blowflies system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (10)

On periodic solutions of a discrete Nicholson's dual system with density-dependent mortality and harvesting terms ⋮ Global attractivity of asymptotically almost periodic Nicholson’s blowflies models with a nonlinear density-dependent mortality term ⋮ Existence and stability of periodic solutions of Nicholson-type system with nonlinear density-dependent mortality ⋮ Stochastic Nicholson-type delay differential system ⋮ Global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies system involving multiple pairs of time-varying delays ⋮ Dynamics of Nicholson's blowflies models with a nonlinear density-dependent mortality ⋮ Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term ⋮ New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies model with multiple pairs of time-varying delays ⋮ Markov switched stochastic Nicholson-type delay system with patch structure ⋮ GLOBAL STABILITY OF AUTONOMOUS AND NONAUTONOMOUS HEPATITIS B VIRUS MODELS IN PATCHY ENVIRONMENT

Cites Work

• Unnamed Item
• Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
• A predator-prey model with functional response and stage structure for prey
• Positive almost periodic solution for a class of Nicholson's blowflies model with a linear harvesting term
• Permanence for Nicholson-type delay systems with nonlinear density-dependent mortality terms
• Existence and exponential stability of positive almost periodic solution for Nicholson-type delay systems
• Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays
• Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays
• The existence and uniqueness of positive periodic solutions of Nicholson-type delay systems
• The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms
• Positive periodic solutions of delayed Nicholson's blowflies models with a nonlinear density-dependent mortality term
• Almost periodic solutions for a delayed Nicholson's blowflies system with nonlinear density-dependent mortality terms and patch structure
• Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays
• Nicholson's blowflies differential equations revisited: main results and open problems
• Almost periodic differential equations
• Introduction to functional differential equations
• Oscillation and global attractivity in a periodic Nicholson's blowflies model
• Almost periodic solutions for a delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term
• Exponential extinction of Nicholson's blowflies system with nonlinear density-dependent mortality terms
• Global stability of population models with patch structure
• ANALYSIS OF GLOBAL ASYMPTOTIC STABILITY AND PSEUDO ALMOST PERIODIC SOLUTION OF A CLASS OF CHAOTIC NEURAL NETWORKS
• GLOBAL STABILITY OF A THREE-SPECIES FOOD-CHAIN MODEL WITH DIFFUSION AND NONLOCAL DELAYS
• Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
• A PLANKTON ALLELOPATHIC MODEL DESCRIBED BY A DELAYED QUASILINEAR PARABOLIC SYSTEM
• ADVANCED IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
• THRESHOLD AND STABILITY RESULTS FOR A MALARIA MODEL IN A POPULATION WITH PROTECTIVE INTERVENTION AMONG HIGH‐RISK GROUPS
• DYNAMIC ANALYSIS FOR BERTRAND COMPETITION MODEL WITH EXPONENTIAL FORM∗
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL
• Permanence for Nicholson-type delay systems with patch structure and nonlinear density-dependent mortality terms
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON’S BLOWFLIES SYSTEM WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERMS AND PATCH STRUCTURE