Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity

DOI10.3934/mbe.2020375zbMath1483.34099OpenAlexW3094775526WikidataQ104619370 ScholiaQ104619370MaRDI QIDQ1979587

Toshikazu Kuniya, Tarik Mohammed Touaoula

Publication date: 3 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020375

zbMATH Keywords

global stabilitybistable nonlinearityLyapunov functionaldistributed delayAllee effect

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Stationary solutions of functional-differential equations (34K21)

Related Items (3)

Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative ⋮ Global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity ⋮ Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control
• Absolute and delay-dependent stability of equations with a distributed delay
• Global stability for non-monotone delay equations (with application to a model of blood cell production)
• Delay differential equations: with applications in population dynamics
• On the global attractor of delay differential equations with unimodal feedback
• On the diffusive Nicholson's blowflies equation with distributed delay
• Nicholson's blowflies differential equations revisited: main results and open problems
• Dynamic hematological disease: a review
• Introduction to functional differential equations
• Global stability for a class of functional differential equations (application to Nicholson's blowflies and Mackey-Glass models)
• Mackey-Glass type delay differential equations near the boundary of absolute stability
• Stability of a nonlocal delayed reaction-diffusion equation with a non-monotone bistable nonlinearity
• Dynamics of solutions of a reaction-diffusion equation with delayed inhibition
• Global attractivity in a population model with nonlinear death rate and distributed delays
• Global dynamics for a class of reaction-diffusion equations with distributed delay and Neumann condition
• Delay reaction-diffusion equation for infection dynamics
• Delayed population models with Allee effects and exploitation
• On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
• Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Unstable sets, heteroclinic orbits and generic quasi-convergence for essentially strongly order-preserving semiflows
• A Global Stability Criterion for Scalar Functional Differential Equations
• Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback
• A global stability criterion for a family of delayed population models

This page was built for publication: Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity