Complex dynamics in a general diffusive predator-prey model with predator maturation delay
DOI10.1007/S10884-022-10176-9zbMATH Open1543.35045MaRDI QIDQ6567217
Hongying Shu, Zheng Tang, Hao Wang, Wanxiao Xu
Publication date: 4 July 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
periodic orbitspredator-preyglobal bifurcationreaction-diffusion equationsmaturation delaypositive steady states
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Title not available (Why is that?)
- Delay differential equations: with applications in population dynamics
- The roles of predator maturation delay and functional response in determining the periodicity of predator-prey cycles
- Delay induced stability switch, multitype bistability and chaos in an intraguild predation model
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Introduction to functional differential equations
- Sui tentativi di applicazione delle matematiche alle scienze biologiche e sociali. Discorso letto il 4 novembre 1901 alla inaugurazione dell' anno scolastico nella R. Università di Roma.
- Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters
- Theory and applications of partial functional differential equations
- Robust persistence for semidynamical systems.
- Coupled nonlinear parabolic systems with time delays
- Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment
- Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model
- Global dynamics of Nicholson's blowflies equation revisited: onset and termination of nonlinear oscillations
- Global Hopf bifurcation and dynamics of a stage-structured model with delays for tick population
- Topics in nonlinear functional analysis. Notes by Ralph A. Artino.
- Geometric stability switch criteria in delay differential systems with delay dependent parameters
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Elliptic Partial Differential Equations of Second Order
- Symmetric functional differential equations and neural networks with memory
- Topologie et équations fonctionnelles
- Double Hopf bifurcation of a diffusive predator–prey system with strong Allee effect and two delays
- Diffusive spatial movement with memory and maturation delays
- Permanence and stability of a stage-structured predator-prey model
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