Accuracy of results from mathematical and computer models of biological systems is often
complicated by the presence of uncertainties in experimental data that are used to estimate …

Sensitivity analysis is an important part of a mathematical modeller's toolbox for model
analysis. In this review paper, we describe the most frequently used sensitivity techniques …

Chemical processes can be described by detailed kinetic reaction mechanisms consisting of
several hundreds or even thousands of reaction steps. Such reaction mechanisms are used …

In this article, a mathematical model for the transmission of COVID-19 disease is formulated
and analysed. It is shown that the model exhibits a backward bifurcation at R 0= 1 when …

In recent years, COVID-19 has evolved into many variants, posing new challenges for
disease control and prevention. The Omicron variant, in particular, has been found to be …

The basic reproduction number and the point of endemic equilibrium are two very important
factors in any deterministic compartmental epidemic model as the basic reproduction …

Background: We address the research questions:(i) what proportion of new HIV infections is
transmitted from people who are (a) undiagnosed,(b) in primary HIV infection (PHI),(c) on …

Mosquito dispersal is a key behavioural factor that affects the persistence and resurgence of
several vector-borne diseases. Spatial heterogeneity of mosquito resources, such as hosts …

Direct cell-to-cell transmission of HIV-1 is proved to be a more efficient means of virus
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …

The immune system is inordinately complex with many interacting components determining
overall outcomes. Mathematical and computational modelling provides a useful way in …