قارن الطرق

	نماذج الحجرات الوبائية المستوطنة (SIS, SIRS, SIRV)	نموذج SIR الوبائي التقسيمي
المجال	علم الأوبئة	علم الأوبئة
العائلة	Regression model	Regression model
سنة النشأة	2000	1927
صاحب الطريقة	Herbert Hethcote	Kermack & McKendrick
النوع	Compartmental ODE model	Deterministic compartmental ODE model
المصدر التأسيسي	Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599–653.	Kermack, W. O., & McKendrick, A. G. (1927). A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society A, 115(772), 700–721.
الأسماء البديلة	SIS Model, SIRS Model, SIRV Model, Endemic Disease Models	Kermack–McKendrick Model, Susceptible-Infectious-Recovered Model, Compartmental Epidemic Model, SIR Epidemiyoloji Modeli
ذات صلة	3	3
الملخص	Endemic compartmental models extend the classical SIR framework to capture diseases that persist indefinitely in a population rather than burning out after a single epidemic wave. The SIS model allows recovered individuals to return to susceptibility immediately; SIRS introduces temporary immunity before loss; SIRV adds a vaccinated compartment. Together these models are foundational tools for studying diseases such as influenza, gonorrhea, and seasonal pathogens where reinfection or waning immunity is epidemiologically central.	The SIR model is a foundational mathematical framework for describing the spread of infectious diseases through a population. Introduced by William Ogilvy Kermack and Anderson Gray McKendrick in 1927, it partitions a closed population of size N into three mutually exclusive compartments: Susceptible (S), Infectious (I), and Recovered (R). A system of ordinary differential equations governs the flow of individuals between compartments, capturing epidemic dynamics with two key parameters — the transmission rate β and the recovery rate γ.