240 citations · 3.3k across the 90 of their papers we have counts for
97 papers
Dynamics of a mathematical model of virus spreading incorporating the effect of a vaccine
Aytül Gökçe, Burcu Gürbüz, Alan D. Rendall
The COVID-19 pandemic led to widespread interest in epidemiological models. In this context the role of vaccination in influencing the spreading of the disease is of particular int…
Phenomenology of an in-host model of hepatitis C
Alexis Nangue, Alan D. Rendall
This paper carries out an analysis of the global properties of solutions of an in-host model of hepatitis C for general values of its parameters. A previously unknown stable steady…
Analysis of a model of the Calvin cycle with diffusion of ATP
Burcu Gürbüz, Alan D. Rendall
The dynamics of a mathematical model of the Calvin cycle, which is part of photosynthesis, is analysed. Since diffusion of ATP is included in the model a system of reaction-diffusi…
Autophosphorylation and the dynamics of the activation of Lck
Lisa Maria Kreusser, Alan D. Rendall
Lck (lymphocyte-specific protein tyrosine kinase) is an enzyme which plays a number of important roles in the function of immune cells. It belongs to the Src family of kinases whic…
Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection
Alexis Nangue, Alan D. Rendall, Brice Kammegne Tcheugam +1
In this paper, a mathematical analysis of the global dynamics of a viral infection model in vivo is carried out. We study the dynamics of a hepatitis C virus (HCV) model, under the…
Unbounded solutions of models for glycolysis
Alan D. Rendall, Pia Brechmann
The Selkov oscillator, a simple description of glycolysis, is a system of two ordinary differential equations with mass action kinetics. In previous work the authors established se…