On the stability for a population growth equation with time delay

DOI10.1017/S0308210500015079zbMath0754.34080MaRDI QIDQ3991042

Jitsuro Sugie

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform stabilitydelay differential equations

Mathematics Subject Classification ID

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

Related Items (10)

Global attractivity for a delay logistic equation with instantaneous terms ⋮ On the stability of a delay differential population model ⋮ On the uniform stability for a ‘food-limited’ population model with time delay ⋮ Global attractivity in scalar delayed differential equations with applications to population models. ⋮ On a hyperlogistic delay equation ⋮ Global Attractivity for a Population Model with Time Delay ⋮ A sufficient condition for the global asymptotic stability of a class of logistic equations with piecewise constant delay ⋮ Asymptotic behavior of solutions of delay logistic differential equation with negative instantaneously terms ⋮ Global attractivity results for nonlinear delay differential equations ⋮ \(\frac 32\)-global attractivity of the zero solution of the ``food-limited type functional differential equation

Cites Work

• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Periodic solutions of some nonlinear, autonomous functional differential equations. II
• A periodicity theorem for autonomous functional differential equations
• On the Stability of a Periodic Solution of a Differential Delay Equation
• A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION OF GROWTH
• A non-linear difference-differential equation.

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