23 citations · 63 across the 8 of their papers we have counts for
10 papers
Global stability properties of a class of renewal epidemic models with variable susceptibility
Michael T. Meehan, Daniel G. Cocks, Emma S. McBryde
We investigate the global dynamics of a renewal-type epidemic model with variable susceptibility. We show that in this extended model there exists a unique endemic equilibrium and…
Mathematical analysis of a two-strain disease model with amplification
Md Abdul Kuddus, Michael T. Meehan, Adeshina I. Adekunle +2
We investigate a two-strain disease model with amplification to simulate the prevalence of drug-susceptible (s) and drug-resistant (m) disease strains. We model the emergence of dr…
On the probability of strain invasion in endemic settings: accounting for individual heterogeneity and control in multi-strain dynamics
Michael T. Meehan, Robert C. Cope, Emma S. McBryde
The rise of antimicrobial drug resistance is an imminent threat to global health that has warranted, and duly received, considerable attention within the medical, microbiological a…
Mathematical analysis of a Wolbachia invasive model with imperfect maternal transmission and loss of Wolbachia infection
Adeshina I. Adekunle, Michael T. Meehan, Emma S. McBryde
Arboviral infections, especially dengue, continue to cause significant health burden in their endemic regions. One of the strategies to tackle these infections is to replace the ma…
Global stability of the multi-strain Kermack-McKendrick (renewal) epidemic model
Michael T. Meehan, Daniel G. Cocks, Emma S. McBryde
We extend a recent investigation by Meehan et al. (2019) regarding the global stability properties of the general Kermack-McKendrick (renewal) model to the multi-strain case. We de…
Global stability properties of renewal epidemic models
Michael T. Meehan, Daniel G. Cocks, Johannes Müller +1
We investigate the global dynamics of a general Kermack-McKendrick-type epidemic model formulated in terms of a system of renewal equations. Specifically, we consider a renewal mod…
Coupled, multi-strain epidemic models of mutating pathogens
Michael T. Meehan, Daniel G. Cocks, James M. Trauer +1
We introduce and analyze coupled, multi-strain epidemic models designed to simulate the emergence and dissemination of mutant (e.g. drug-resistant) pathogen strains. In particular,…
Dark matter relic density in scalar-tensor gravity revisited
Michael T. Meehan, Ian B. Whittingham
We revisit the calculation of dark matter relic abundances in scalar-tensor gravity using a generic form for the coupling between the scalar field and…
Dark matter relic density in Gauss-Bonnet braneworld cosmology
Michael T. Meehan, Ian B. Whittingham
The relic density of symmetric and asymmetric dark matter in a Gauss-Bonnet (GB) modified Randall-Sundrum (RS) type II braneworld cosmology is investigated. The existing study of s…
Asymmetric dark matter in braneworld cosmology
Michael T. Meehan, Ian B. Whittingham
We investigate the effect of a braneworld expansion era on the relic density of asymmetric dark matter. We find that the enhanced expansion rate in the early universe predicted by…