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Recent Publications

  • (with P. Magal and Y. Wu) On a Vector-host Epidemic Model with Spatial Structure, Nonlinearity Vol. 41 (2018) 692-705.

 

  • (with P. Magal and O. Seydi) Final size of a multi-group SIR epidemic model: Irreducible and non-irreducible modes of transmission, Math. Biosciences, Vol. 301 (2018), 59-67.

 

  • (with J.Z. Farkas and G.T. Smith) A dynamic model of CT scans for quantifying doubling times of ground glass model opacities using histogram analysis, Math. Bios. Eng., Vol. 15(5), (2018), 1203-1224.

 

  • (with P. Magal) The parameter identification problem for SIR epidemic models: Identifying unreported cases, 20. Math. Biol., January, (2018), 1-20.

 

  • (with W.E. Fitzgibbon, J.J. Morgan, and Y. Wu) A vector-host epidemic model with spatial structure and age of infection, Nonl. Anal: Real World Appl., Vol. 41, (2018), 692-705.

 

  • The ensemble interpretation of quantum mechanics and the two-slit experiment, Chapter in “Contributions to Partial Differential Equations and Applications”, Computational Methods in Applied Science, Vol. 47, Springer-Verlag (2018), 433-452.

 

  • (with W.E Fitzgibbon and J.J. Morgan) An outbreak vector-host epidemic model with spatial structure: The 2015-2016 Zika outbreak in Rio De Janeiro, Theoret. Biol. Med. Mod., Vol. 14(7), (2017).

 

  • (with C. Browne and M. Wang), A stochastic model of nosocomial epidemics in hospital intensive care units, Elect. J. Qual. Theory Dif. Eqs., No.6, (2017), 1–12.

 

  • Individual based models and differential equations models of nosocomial epidemics in hospital intensive care units, Discr. Cont. Dyn. Sys. – Ser. B, Vol. 22, No. 3, (2017), 1145-1166.

 

  • (with W. Ding) Optimal control applied to community-acquired methicillin-resistant Staphylococcus Aureus in hospitals, J. Biol. Dyn., Vol. 11, No. 51, (2017), 55-78.

 

  • (with J.Z. Farkas) Mathematical analysis of a clonal evolution model of tumour cell proliferation, 308. Evol. Eqs.17(1), (2017), 275-308.