Lotka, Alfred

Lorenzo Echevarria, 217 Los loop, 301 Lotka Alfred J., 971, 980 Lotrich Victor, 850 Louis Edwin J., 505 Lowdin Per-Olov, 444, 445, 472, 581... 

Los loop 251 Lotka Alfred J. 850 Lotrich Victor 729 Louis Edwin J. 428... 

In these equations, N is the predator and R is the prey species. It is assumed that the dynamics of the prey and predator populations in the absence of the other species is given by exponential growth R = aR or decay N = —bN. Predation is taken into account in the form of a mass action RN term with rates ki and k2- Model (15.1) became famous as the Lotka-Volterra model [11] (some of the work of Volterra was preceded by that of Alfred J. Lotka in a chemical context [12]). 

This feedback-type behavior has been first considered in the domain of mathematics, with explicit targeting chemistry. In 1910. Alfred Lotka proposed some differential equations that corresponded to the kinetics of an autocatalytic chemical reaction, and then with lto Volterra derived a differential equation that describes a general feedback mechanism (oscillations) known as the Lotka-Volterra model. However, chemistry has not been ready yet for this link. 

Vito Volterra (1860-1940), an Italian mathematician, and Alfred J. Lotka (1880-1949), an American mathematical biologist, formulated at about the same time the so-called Lotka-Volterra model of predator-prey population dynamics. The assumptions of this model are ... 

During 1910-1920, the American biophysicist Alfred Lotka proposed two simple mechanisms for oscillating reactions. Using hypothetical reactants and products, the two mechanisms are as follows ... 

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