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Mathematical tools for understanding infectious disease dynamics

1, 2013

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Numerical bifurcation analysis of renewal equations via pseudospectral approximation

Journal of computational and applied mathematics, 2021-12, Vol.397, p.113611, Article 113611

2021

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Modelling physiologically structured populations: renewal equations and partial differential equations

Journal of evolution equations, 2023-09, Vol.23 (3), Article 46

2023

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The winner takes it all: how semelparous insects can become periodical

Journal of mathematical biology, 2020-01, Vol.80 (1-2), p.283-301

2020

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One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics

Acta applicandae mathematicae, 2021-10, Vol.175 (1), p.12-12, Article 12

2021

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Finite dimensional state representation of physiologically structured populations

Journal of mathematical biology, 2020-01, Vol.80 (1-2), p.205-273

2020

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Special issue of the Journal of Mathematical Biology to honor Alan Hastings’ 65th birthday

Journal of mathematical biology, 2020, Vol.80 (1-2), p.1-2

2020

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On models of physiologically structured populations and their reduction to ordinary differential equations

Journal of mathematical biology, 2020-01, Vol.80 (1-2), p.189-204

2020

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Numerical Bifurcation Analysis of Physiologically Structured Population Models via Pseudospectral Approximation

Vietnam journal of mathematics, 2021-03, Vol.49 (1), p.37-67

2021

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STABILITY AND BIFURCATION ANALYSIS OF VOLTERRA FUNCTIONAL EQUATIONS IN THE LIGHT OF SUNS AND STARS

SIAM journal on mathematical analysis, 2007-01, Vol.39 (4), p.1023-1069

2007

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Numerical bifurcation analysis of a class of nonlinear renewal equations

Electronic journal of qualitative theory of differential equations, 2016-01, Vol.2016 (65), p.1-24

2016

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The effect of host population heterogeneity on epidemic outbreaks

Mathematics in applied sciences and engineering, 2024-03, Vol.5 (1), p.1-35

2024

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A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Journal of mathematical biology, 2023-02, Vol.86 (2), p.29-29, Article 29

2023

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Should a viral genome stay in the host cell or leave? A quantitative dynamics study of how hepatitis C virus deals with this dilemma

PLoS biology, 2020-07, Vol.18 (7), p.e3000562-e3000562

2020

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Linearization of solution operators for state-dependent delay equations: A simple example

Discrete and continuous dynamical systems. Series A, 2016-01, Vol.36 (1), p.137-149

2016

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The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach

Theoretical population biology, 2005-06, Vol.67 (4), p.257-271

2005

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On the characteristic equation $$\lambda =\alpha _{1}+(\alpha _{2}+\alpha _{3}\lambda )e^{-\lambda }$$ and its use in the context of a cell population model

Journal of mathematical biology, 2016-03, Vol.72 (4), p.877-908

2016

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Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example

Journal of mathematical biology, 2010-08, Vol.61 (2), p.277-318

2010

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Equations with infinite delay: Blending the abstract and the concrete

Journal of Differential Equations, 2012-01, Vol.252 (2), p.819-851

2012

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A numerical approach for investigating the stability of equilibria for structured population models

Journal of biological dynamics, 2013-01, Vol.7 (sup1), p.4-20

2013

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Delay equation formulation of a cyclin-structured cell population model

Journal of evolution equations, 2014-12, Vol.14 (4-5), p.841-862

2014

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The many guises of R0 (a didactic note)

Journal of theoretical biology, 2016-09, Vol.404, p.295-302

2016

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How to Assess the Relative Importance of Different Colonization Routes of Pathogens within Hospital Settings

Proceedings of the National Academy of Sciences - PNAS, 2002-04, Vol.99 (8), p.5601-5605

2002

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Pseudospectral discretization of delay differential equations in sun-star formulation: Results and conjectures

Discrete and continuous dynamical systems. Series S, 2020-09, Vol.13 (9), p.2575-2602

2020

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Dangerous connections: on binding site models of infectious disease dynamics

Journal of mathematical biology, 2017-02, Vol.74 (3), p.619-671

2017

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Mathematical tools for understanding infectious disease dynamics

Numerical bifurcation analysis of renewal equations via pseudospectral approximation

Modelling physiologically structured populations: renewal equations and partial differential equations

The winner takes it all: how semelparous insects can become periodical

One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics

Finite dimensional state representation of physiologically structured populations

Special issue of the Journal of Mathematical Biology to honor Alan Hastings’ 65th birthday

On models of physiologically structured populations and their reduction to ordinary differential equations

Numerical Bifurcation Analysis of Physiologically Structured Population Models via Pseudospectral Approximation

STABILITY AND BIFURCATION ANALYSIS OF VOLTERRA FUNCTIONAL EQUATIONS IN THE LIGHT OF SUNS AND STARS

Numerical bifurcation analysis of a class of nonlinear renewal equations

The effect of host population heterogeneity on epidemic outbreaks

A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Should a viral genome stay in the host cell or leave? A quantitative dynamics study of how hepatitis C virus deals with this dilemma

Linearization of solution operators for state-dependent delay equations: A simple example

The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach

On the characteristic equation $$\lambda =\alpha _{1}+(\alpha _{2}+\alpha _{3}\lambda )e^{-\lambda }$$ and its use in the context of a cell population model

Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example

Equations with infinite delay: Blending the abstract and the concrete

A numerical approach for investigating the stability of equilibria for structured population models

Delay equation formulation of a cyclin-structured cell population model

The many guises of R0 (a didactic note)

How to Assess the Relative Importance of Different Colonization Routes of Pathogens within Hospital Settings

Pseudospectral discretization of delay differential equations in sun-star formulation: Results and conjectures

Dangerous connections: on binding site models of infectious disease dynamics

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