A Generalization of Volterra Models with Continuous Time Delay in Population Dynamics: Boundedness and Global Asymptotic stability

DOI10.1137/0148034zbMath0659.92020OpenAlexW1974323600MaRDI QIDQ3809634

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148034

zbMATH Keywords

global asymptotic stability boundedness of solutions interacting populations Sufficient conditions continuous time delay nonnegative equilibrium homotopy function predator-prey Volterra model currents of immigration generalization of the Volterra model prey-refuges

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (12)

Nonexistence of periodic solutions in delayed Lotka--Volterra systems. ⋮ Global stability of single-species diffusion Volterra models with continuous time delays ⋮ Global stability and periodic orbits for two-patch predator-prey diffusion-delay models ⋮ Convergence in Lotka–Volterra-type delay systems without instantaneous feedbacks ⋮ Global attractivity of periodic solutions of population models ⋮ A homotopy technique for a linear generalization of Volterra models ⋮ Numerical detection of instability regions for delay models with delay-dependent parameters ⋮ GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS ⋮ Protection Zones for Survival of Species in Random Environment ⋮ The pseudo almost periodic solutions of the new class of Lotka-Volterra recurrent neural networks with mixed delays ⋮ Global stability of discrete population models with time delays and fluctuating environment ⋮ Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches

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