Periodic solutions of an \(n\)-species Lotka--Volterra type food-chain model with time delays
From MaRDI portal
Publication:814745
DOI10.1016/j.amc.2005.01.067zbMath1081.92044OpenAlexW2020939869MaRDI QIDQ814745
Feilong Hao, Rui Xu, Lan-Sun Chen
Publication date: 7 February 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.067
Stability theory of functional-differential equations (34K20) Ecology (92D40) Periodic solutions to functional-differential equations (34K13)
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Cites Work
- Unnamed Item
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- Delay differential equations: with applications in population dynamics
- Harmless delays for uniform persistence
- Harmless delays in model systems
- Persistence in food webs - I. Lotka-Volterra food chains
- Criteria that forbid a large, nonlinear food-web model from having more than one equilibrium point
- Persistence in food webs: Holling-type food chains
- Persistence in food chains with general interactions
- Top predator persistence in differential equation models of food chains: The effects of omnivory and external forcing of lower trophic levels
- Ordinary differential equations with nonlinear boundary conditions
- Theory of functional differential equations. 2nd ed
- The stability of generalized Volterra equations
- Extinction of top-predator in a three-level food-chain model
- Convergence results in a well-known delayed predator-prey system
- Persistence and global stability for \(n\)-species ratio-dependent predator-prey system with time delays.
- A ratio-dependent food chain model and its applications to biological control.
- Delayed responses and stability in two-species systems
- Periodic Time-Dependent Predator-Prey Systems
- Global analyses in some delayed ratio-dependent predator-prey systems
- Asymptotic behavior in a three-component food chain model