We propose a class of mathematical models for the transmission of infectious diseases in large populations. This class of models, which generalizes the existing discrete-time Markov chain models of infectious diseases, is compatible with efficient dynamic optimization techniques to assist real-time selection and modification of public health interventions in response to evolving epidemiological...

introduction: among the united arab emirates (uae) population more and more people now consider travelling abroad. this is potentially problematic because travelling enhances exposure between hosts and pathogens and so people that travel are putting their health at risk. this concern makes it necessary that public education is provided to inform people of the risks of travelling abroad so that ...

Treatment is of great importance in fighting against infectious diseases. Backward bifurcation of SIR epidemic model with treatment rate is proposed and analyzed by Wang W. We have reinvestigated the above model by considering a backward bifurcation of SIR epidemic model with non-monotone incidence rate under treatment. It is assumed that the treatment rate is proportional to the number of pati...

Epidemiological analysis and mathematical models are now essential tools in understanding the dynamics of infectious diseases and in designing public health strategies to contain them. They have provided fundamental concepts, such as the basic and effective reproduction number, generation times, epidemic growth rates, and the role of pre-symptomatic infectiousness, which are crucial in characte...