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INTRODUCTION TO DIFFUSIVE LOGISTIC EQUATIONS IN POPULATION DYNAMICS
Kazuaki Taira 한국전산응용수학회 2002 Journal of applied mathematics & informatics Vol.9 No.2
The purpose of this paper is to provide a careful and accessible expositionof diffusive logistic equations with indefinite weights which modelpopulation dynamics in environments with strong spatial heterogeneity. Weprove that the most favorable situations will occur if there is a relativelylarge favorable region (with good resources and without crowding effects)located some distance away from the boundary of the environment. Moreoverwe prove that a population will grow exponentially until limited by lack ofavailable resources if the diffusion rate is below some critical value; thisidea is generally credited to Thomas Malthus. On the other hand, if thediffusion rate is above this critical value, then the model obeys thelogistic equation introduced by P. F. Verhulst.
Symposium 1 : Metabolic Syndrome ; Hypertension and Insulin Resistance
( Kazuaki Shimamoto ) 한국지질동맥경화학회 ( 구 한국지질학회 ) 2002 韓國脂質學會誌 Vol.12 No.1
Decreased insulin sensitivity (insulin resistance) has recently attracted attention as a factor which may relate obesity, impaired glucose tolerance, abnormal lipid metabolism and hypertension. We have shown that the insulin sensitivity is decreased in es