Biomaterial Database

[Stochastic model of infectious diseases transmission]. 2009

Juan Ruiz-Ramírez, and Gabriela Eréndira Hernández-Rodríguez

Facultad de Economía, Universidad Veracruzana, Xalapa, Veracruz, México. jruizuv@gmail.com

OBJECTIVE Propose a mathematic model that shows how population structure affects the size of infectious disease epidemics. METHODS This study was conducted during 2004 at the University of Colima. It used generalized small-world network topology to represent contacts that occurred within and between families. To that end, two programs in MATLAB were conducted to calculate the efficiency of the network. The development of a program in the C programming language was also required, that represents the stochastic susceptible-infectious-removed model, and simultaneous results were obtained for the number of infected people. RESULTS An increased number of families connected by meeting sites impacted the size of the infectious diseases by roughly 400%. CONCLUSIONS Population structure influences the rapid spread of infectious diseases, reaching epidemic effects.

UI	MeSH Term	Description	Entries
D008962	Models, Theoretical	Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment.	Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D003141	Communicable Diseases	An illness caused by an infectious agent or its toxins that occurs through the direct or indirect transmission of the infectious agent or its products from an infected individual or via an animal, vector or the inanimate environment to a susceptible animal or human host.	Infectious Diseases,Communicable Disease,Disease, Communicable,Disease, Infectious,Diseases, Communicable,Diseases, Infectious,Infectious Disease
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D013269	Stochastic Processes	Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables.	Process, Stochastic,Stochastic Process,Processes, Stochastic