Asymptotic Behavior of Age-Structured and Delayed Lotka--Volterra Models
DOI10.1137/19M1261092zbMath1448.35520arXiv1905.02770MaRDI QIDQ5124636
Quentin Richard, Antoine Perasso
Publication date: 30 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.02770
periodic solutionstime delayasymptotic stabilityLyapunov functionalLotka-Volterra equationsage-structured populationglobal attractiveness
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Volterra integral equations (45D05) PDEs on time scales (35R07)
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Cites Work
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- Implication of age-structure on the dynamics of Lotka Volterra equations.
- Delay differential equations: with applications in population dynamics
- Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
- Global dynamics of an in-host viral model with intracellular delay
- Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
- Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems
- Structured population models in biology and epidemiology.
- Global stability for an SIR epidemic model with delay and nonlinear incidence
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Absolute stability in delay equations
- On predator-prey interactions with predation dependent on age of prey
- On global stability of a predator-prey system
- Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays
- Introduction to functional differential equations
- Convergence results in a well-known delayed predator-prey system
- Permanence and global stability in a Lotka-Volterra predator-prey system with delays
- Global stability and uniform persistence for an infection load-structured SI model with exponential growth velocity
- Feedback control effect on the Lotka-Volterra prey-predator system with discrete delays
- Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
- Permanence and global stability for general Lotka-Volterra predator-prey systems with distributed delays.
- Long-time asymptotics for nonlinear growth-fragmentation equations
- Lyapunov functions for two-species cooperative systems
- Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
- A survey of constructing Lyapunov functions for mathematical models in population biology
- The periods of the Volterra-Lotka system.
- Lyapunov functional and global asymptotic stability for an infection-age model
- The Lyapunov Functionals for Delay Lotka--Volterra-Type Models
- One-Parameter Semigroups for Linear Evolution Equations
- Global stability for multi-species Lotka–Volterra cooperative systems: One hyper-connected mutualistic-species
- Age-Structured Population Dynamics in Demography and Epidemiology
- Bifurcation Phenomena in a Lotka–Volterra Model with Cross-Diffusion and Delay Effect
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Global stability analysis of some nonlinear delay differential equations in population dynamics
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