Carvalho, Ana R.M.Pinto, Carla M.A.2017-01-172016http://hdl.handle.net/10400.22/9282We study the contributions of within-host (virus-to-cell) and synaptic (cell-to-cell) transmissions in a mathematical model for human immunodeficiency virus epidemics. The model also includes drug resistance. We prove the local and global stability of the disease-free equilibrium and the local stability of the endemic equilibrium. We analyse the effect of the cell-to-cell transmission rate on the value of the reproduction number, R0. Moreover, we show evidence of a qualitative change in the models’ dynamics, subjected to the value of the drug efficacy. In the end, important inferences are drawn.engHIVSynaptic transmissionWithin-host transmissionTreatmentDrug resistancejournal article10.1002/mma.4047