几何突变的人口半群的单调性和FRR性质
Monotonicity and Feller-Reuter-Riley Property of the Population Semigroups with Geometric Catastrophe
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摘要: 研究几何突变人口半群的单调性和FRR性质.证明了q-矩阵Q在l∞生成正的压缩半群;在c0空间上生成连续压缩半群;最小Q-函数P(t)是FRR的,并且给出了其为随机单调的判别标准.Abstract: In this paper, we show that the geometric catastrophe q-matrix Q generates a positive contraction integrated semigroup on l∞, Q also generates a continuous contraction semigroup on c0 and the minimal Q-function P(t) is always a Felle-Reuter-Riley function, and establish a criterion for stochastic monotonicity.
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