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Chapter and Conference Paper
Influence of Infectious Disease on the Growth of a Population with Three Genotypes
Studies of population dynamics must ultimately take into account the effects of population genetics. This paper deals with the evolutionary pressure exerted on the host population from the presence of a vector...
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Article
The effect of epidemics on genetic evolution
Mathematical models of a vector-borne infectious disease acting on a host population consisting of three genotypes which differ in susceptibility to, recovery from, and death due to the disease are presented a...
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Article
The effects of seasonal fluctuations on an open access fishery problem
The Gordon-Schaefer model with periodic coefficients is studied. A suitable real parameter d is found such that positive periodic solutions exist iff d > 0. No uniqueness result may be proved as shown with an exa...
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Article
Lyapunov functions for a generalized Gause-type model
Lyapunov functions are given to prove the global asymptotic stability of a large class of predator-prey models, including the ones in which the intrinsic growth rate of the prey follows the Ricker-law or the O...