- Volume 26 Issue 2_3
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A History of Investigations of Population Dynamics and Epidemiology
집단 및 질병 동역학에 대한 역사발생적 고찰
- Lee, Weon Jae (Seongji High School) ;
- Han, Gil Jun (Department of Mathematics Education, Dankook University)
- Received : 2013.02.28
- Accepted : 2013.04.10
- Published : 2013.05.31
The late 18C Malthus studied population growth for the first time, Verhulst the logistic model in 19C and, after that, the study of the predation competition between two species resulted in the appearance of Lotka-Volterra model and modified model supported by Gause's experiment with bacteria. Instable coexistence equilibrium being found, Solomon and Holling proposed functional and numerical response considering limited abilities of predator on prey, which applied to Lotka Volterra model. Nicholson and Baily, considering the predation between host and parasitoid in discrete time, made a model. In 20C there were developed various models of disease dynamics with the help of mathematics and real data and named SIS, SIR or SEIR on the basis of dynamical phenomena.
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