NOVEL STABILITY CONDITIONS FOR SOME GENERALIZATION OF NICHOLSON’S BLOWFLIES MODEL WITH STOCHASTIC PERTURBATIONS

DOI10.1017/s1446181123000147zbMath1527.37055MaRDI QIDQ6051962

Leonid Shaikhet, Syed Abbas

Publication date: 20 September 2023

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

linear matrix inequalityLyapunov functionalswhite noisenumerical simulationspositive equilibriumstochastic perturbationsstability in probability

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Stability theory for random and stochastic dynamical systems (37H30)

Cites Work

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• Nicholson's blowflies differential equations revisited: main results and open problems
• On the stability and uniform persistence of a discrete model of Nicholson's blowflies
• Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model
• A nonlinear dynamic age-structured model of e-commerce in Spain: stability analysis of the equilibrium by delay and stochastic perturbations
• Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations
• Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis
• Continuous Markov processes and stochastic equations
• Lyapunov Functionals and Stability of Stochastic Difference Equations
• Oscillation and global attractivity in a discrete model of Nicholson's blowflies
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
• Exponential Stability of Nonmonotone Traveling Waves for Nicholson's Blowflies Equation

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