General renewal equations motivated by biology and epidemiology

DOI10.1016/j.jde.2023.01.012OpenAlexW4317566449MaRDI QIDQ2689467

Elena Rossi, Mauro Garavello, Rinaldo M. Colombo, Francesca Marcellini

Publication date: 10 March 2023

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

Full work available at URL: https://arxiv.org/abs/2301.01539

zbMATH Keywords

differential equations in epidemic modelingage and space structured SIR modelsIBVP for renewal equationswell posedness of epidemiological models

Mathematics Subject Classification ID

Epidemiology (92D30) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trait substitution sequence process and canonical equation for age-structured populations
• First order quasilinear equations with boundary conditions in the \(L^{\infty}\) framework
• Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
• Global behaviour in age structures S. I. S. models with seasonal periodicities and vertical transmission
• Optimal control of a competitive system with age-structure
• Dynamics of concentration in a population model structured by age and a phenotypical trait
• Non-linear age-dependent population dynamics
• An age and space structured SIR model describing the covid-19 pandemic
• Theory and applications of abstract semilinear Cauchy problems
• Control with uncertain data of socially structured compartmental epidemic models
• Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions
• A structured population model of clonal selection in acute leukemias with multiple maturation stages
• Hyperbolic predators vs. parabolic prey
• The basic approach to age-structured population dynamics. Models, methods and numerics
• Exact controllability of a nonlinear population-dynamics problem
• Optimisation of Cancer Drug Treatments Using Cell Population Dynamics
• Control of the continuity equation with a non local flow
• Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
• A Nonautonomous Juvenile-Adult Model: Well-Posedness and Long-Time Behavior via a Comparison Principle
• A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
• STABILITY IN A NONLINEAR POPULATION MATURATION MODEL
• Control of biological resources on graphs
• Age-Structured Population Dynamics in Demography and Epidemiology

This page was built for publication: General renewal equations motivated by biology and epidemiology