Complex dynamics in a delay differential equation with two delays in tick growth with diapause

DOI10.1016/j.jde.2020.07.029OpenAlexW3087029060MaRDI QIDQ2003947

Xiang-Sheng Wang, Jianhong Wu, Hongying Shu, Wanxiao Xu

Publication date: 13 October 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.07.029

zbMATH Keywords

diapausetick population dynamicsgeometric criterionglobal Hopf branchdelay dependent parameters

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Related Items (9)

Synchronized tick population oscillations driven by host mobility and spatially heterogeneous developmental delays combined ⋮ Lorentz-equivariant flow with four delays of neutral type ⋮ Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model ⋮ Global Hopf bifurcation and dynamics of a stage-structured model with delays for tick population ⋮ A discrete tick population dynamics model with continuous and seasonal birth breeding ⋮ Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy ⋮ Discrete stage-structured tick population dynamical system with diapause and control ⋮ Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion ⋮ Hopf bifurcation and chaos of tumor-lymphatic model with two time delays

Uses Software

• DDE-BIFTOOL

Cites Work

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• CRITICAL CONTACT RATE FOR VECTOR–HOST–PATHOGEN OSCILLATION INVOLVING CO-FEEDING AND DIAPAUSE
• Bounded global Hopf branches for stage-structured differential equations with unimodal feedback
• Critical diapause portion for oscillations: Parametric trigonometric functions and their applications for Hopf bifurcation analyses
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Dynamical systems in population biology

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