Models of Sexually Transmitted Diseases

Abstract

In the present work a study of the situation that is presented in Brazil with regard to the sexually transmitted diseases is made, indicating those groups of people for which the most common certain diseases. It introduces a system of differential equations that simulates the process of transmission of different diseases, if different cases are studied that derive from the general system; the system is simplified according to the case, a qualitative study of the system of equations is presented and conclusions are drawn regarding the future situation in relation to the number of infested patients.

Simplified Mathematical Modeling on Person-to-Person Disease Transmission: The Coronavirus Case

“…Suppose if the case is 𝑎𝑎 1 = 𝑏𝑏 2 and 𝑎𝑎 2 𝑏𝑏 1 > 𝑎𝑎 1 𝑏𝑏 2 , the first approximation method is not applicable, as we have a critical case corresponding to a pair of pure imaginary eigenvalues. In correspondence with the procedures applied in previous works, Rodríguez, et al, (2019);Soto, et al, (2019) through a non-degenerate transformation 𝑋𝑋 = 𝑆𝑆𝑆𝑆, the system (1) is transformed into the system (2),…”

“…Similar to the works are previously published in the mathematical modeling group Rodríguez, et al, (2019) andSoto, et al, (2019) different processes are modeled and reduced to normal form for their study qualitatively. For a better understanding of the work, this theorem will be demonstrated in full.…”

“…The processes of contagion by a disease in general are produced from person to person, by some type of contact, either through speech, or any other physical contact (Hethcote, 1976); there may also be transmission through sexual contact, (Soto, et al, 2019); in many of these diseases, the number of individuals infected increase at such a rapid rate that they can become an epidemic or, in the case of worldwide spread, even a pandemic. (Greenhalgh, 1992;Hamer, 1906;Hethcote, 1994).…”