Pastor J. Mathematical ecology of populations and ecosystems. - Oxford; Hoboken: Wiley-Blackwell, 2008. - xiv, 329 p.: ill. - Ref.: p.305-317. - Ind.: p.319-329. - ISBN 978-1-4051-7795-5  Место хранения:   066 | Институт мониторинга климатических и экологических систем CO РАН | Томск | Библиотека

Contents

Prologue ...................................................... vii Preface ........................................................ ix Acknowledgments .............................................. xiii Part 1: Preliminaries ........................................... 1 1. What is mathematical ecology and why should we do it? ........ 3 2. Mathematical toolbox ........................................ 11 Part 2: Populations ............................................ 51 3. Homogeneous populations: exponential and geometric growth and decay ................................................... 53 4. Age- and stage-structured linear models: relaxing the assumption of population homogeneity ........................ 65 5. Nonlinear models of single populations: the continuous time logistic model ......................................... 78 6. Discrete logistic growth, oscillations, and chaos ........... 92 7. Harvesting and the logistic model .......................... 110 8. Predators and their prey ................................... 129 9. Competition between two species, mutualism, and species invasions .................................................. 159 10.Multispecies community and food web models ................. 176 Part 3: Ecosystems ............................................ 187 11.Inorganic resources, mass balance, resource uptake, and resource use efficiency .................................... 189 12.Litter return, nutrient cycling, and ecosystem stability ... 218 13.Consumer regulation of nutrient cycling .................... 238 14.Stoichiometry and linked element cycles .................... 252 Part 4: Populations and ecosystems in space and time .......... 271 15.Transitions between populations and states in landscapes ... 273 16.Diffusion, advection, the spread of populations and resources, and the emergence of spatial patterns ........... 284 Appendix: MatLab commands for equilibrium and stability analysis of multi-compartment models by solving the Jacobian and its eigenvalues .................... 298 References .................................................... 305 Index ......................................................... 319