论文信息 - Markov Semigroups and Structured Population Dynamics

Markov Semigroups and Structured Population Dynamics

An irreducible Markov semigroup of which the essential type is strictly negative, has a prescribed asymptotic behaviour. For a class of structured population models, where the number of individuals is conserved, one can associate a Markov semigroup with the corresponding backward equation, estimate the essential type and establish irreducibility, and thus characterize the large time behaviour of the solutions to the problem.

H.J.A.M. Heijmans | H. Heijmans

[1] R. Nussbaum. The radius of the essential spectrum , 1970 .

[2] K. Kreith. A Picone identity for strongly elliptic systems , 1971 .

[3] G. Greiner,et al. Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen , 1981 .

[4] Positivity in Time Dependent Linear Transport Theory , 1984 .

[5] Odo Diekmann,et al. On the stability of the cell size distribution , 1986 .

[6] F. H. D. van Batenburg,et al. Holling's “hungry mantid” model for the invertebrate functional response considered as a Markov process. Part I: The full model and some of its limits , 1985 .

[7] H. Heijmans. Holling's “hungry mantid” model for the invertebrate functional response considered as a Markov process. III. Stable satiation distribution , 1984, Journal of mathematical biology.

[8] F. H. D. van Batenburg,et al. Holling's “hungry mantid” model for the invertebrate functional response considered as a Markov process. Part II: Negligible handling time , 1985 .