Mathematical Ecology: Proceedings of the Autumn Course (Research Seminars), Held at the International Centre for Theoretical Physics, Mirama

ISBN-13: 9783540129196 / Angielski / Miękka / 1984 / 517 str.

S. a. Levin; T. G. Hallam

Spis treści

I Autecology.- On the phenotypic plasticity of leaf photosynthetic capacity.- A model of optimal thermoregulation during gestation.- Holling's 'hungry mantid' model for the invertebrate functional response considered as a Markov process. Part 0: A survey of the main ideas and results.- The effect of competition on the flowering time of annual plants.- Evolutionarily stable strategies for larval dragonflies.- II Population Biology.- The storage effect in stochastic population models.- The stable size distribution: an example in structured population dynamics.- "Stage-structure" models of uniform larval competition.- Simple models for age dependent predation.- A model of naticid gastropod predator-prey co-evolution.- A theoretical model for the coevolution of a host and its parasite.- III Community and Ecosystem Theory.- Particle size spectra in ecology.- Species-abundance relation and diversity.- A competition model with age structure.- Stability vs. complexity in model competition communities.- Persistence in food webs.- The structure of cycling in the Ythan Estuary.- IV Applications: Fisheries.- Constant yield harvesting of population systems.- Estimating the response of populations to exploitation from catch and effort data.- Bioeconomics and the management of tuna stocks in the eastern tropical Atlantic.- The multispecies fisheries problem: A case study of Georges Bank.- The legacy of Beverton and Holt.- V Applications: Epidemiology.- Eradication strategies for virus infections.- Models for a class of man-environment epidemic diseases.- Mathematical models of vertical transmission of infection.- Integral equations for infections with discrete parasites: Hosts with Lotka birth law.- VI The Dynamics of Movement: Diffusion Models.- Predator-prey dynamics in spatially structured populations: manipulating dispersal in a coccinellid-aphid interaction.- Oceanic turbulent diffusion of abiotic and biotic species.- Taxes in cellular ecology.- Nonlinear diffusion problems in age-structured population dynamics.- A mathematical model of population dynamics involving diffusion and resources.- VII Spatial Pattern and Diffusion Models.- Critical patch size for plankton and patchiness.- Spatial distribution of rapidly dispersing animals in heterogeneous environments.- Spatial distribution of competing species.- Space structures of some migrating populations.