Propagation of population pulses and fronts in a cell replication problem: Non-locality and dependence on the initial function

DOI10.1016/0167-2789(95)00114-JzbMath0887.92025MaRDI QIDQ1896549

Alejandro D. Rey, Michael C. Mackey

Publication date: 29 August 1995

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

reaction-convection equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Nonlinear first-order PDEs (35F20)

Related Items

Global stability of a partial differential equation with distributed delay due to cellular replication ⋮ Periodic oscillations in leukopoiesis models with two delays ⋮ A mathematical model of multistage hematopoietic cell lineages ⋮ A nonlinear age and maturity structured model of population dynamics. II: Chaos ⋮ A nonlinear age and maturity structured model of population dynamics. I: Basic theory ⋮ Existence, positivity and stability for a nonlinear model of cellular proliferation ⋮ Local versus nonlocal interactions in a reaction-diffusion system of population dynamics ⋮ Numerical integration of a mathematical model of hematopoietic stem cell dynamics ⋮ Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases ⋮ Asymptotic behavior for a cellular replication and maturation model

Cites Work

• Unnamed Item
• Unnamed Item
• Smooth bifurcation of symmetric periodic solutions of functional differential equations
• Turbulent solutions of a first order partial differential equation
• Ergodicity and exactness of the shift on C[0,\(\infty)\) and the semiflow of a first-order partial differential equation
• Smooth symmetry breaking bifurcation for functional differential equations
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Irregular wakes in reaction-diffusion waves
• Transitions and kinematics of reaction-convection fronts in a cell population model
• Stable and chaotic solutions of a first order partial differential equation
• Notes on chaos in the cell population partial differential equation
• Invariant measures for the flow of a first order partial differential equation
• Bifurcations and traveling waves in a delayed partial differential equation
• Solution multistability in first‐order nonlinear differential delay equations
• Pattern formation outside of equilibrium

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