Outline of introduction: The practical use of these models is based on the fact that they can be kept realistic enough. Of course, this doesn’t mean to include every possible detail, but rather of every major mechanism. Bernoulli 1760 nonlinear ordinary differential equation. Effect of cowpox inoculation on the spread of smallpox. The initial plan is to discuss nonextended models in Section 1, ...

three subheadings including treatment, prevention and control and diagnosis methods got the most priorities, respectively. although about half of the priorities are related to two subheadings including treatment and diagnosis methods, research priorities of prevention and control methods (22% of all priorities) indicate the importance of prevention for clinicians who gave scores to the titles. ...

The mathematical study of the dynamics of infectious diseases has a long history. By incorporating computer-based simulations in dynamic epidemiological models, it could be possible for modeling methods and theoretical analyses to be more realistic and reliable, allowing a more detailed understanding of the rules governing epidemic spreading. To provide the basis for a disease transmission, the...

In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive $T$-periodic solution which is globally asym...

The past three decades have seen significant growth in the field of mathematical modeling of infectious diseases, leading to substantial increase in our understanding of epidemiology and control of these diseases. Ability to quickly unravel the dynamics of the spread of infectious diseases is important for effective prevention of future outbreaks and for control of ongoing ones. Recent interest...

Infectious diseases affect both animals and humans and cause significant financial losses and loss of lives every year around the world. For developing nations like India the losses are all the more critical because they affect economic growth (i.e. loss of animals and labor). Mathematical models have become important tools in analyzing the spread and control of infectious diseases. The modelli...