Mathematical ecology of populations and ecosystems / John Pastor.
"Population ecologists study how births and deaths affect the dynamics of populations and communities while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathemat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: | Oxford ; Hoboken, NJ : Wiley-Blackwell Pub., 2008. |
| Subjects: |
Table of Contents:
- What is mathematical ecology and why should we do it?
- Mathematical toolbox
- Homogeneous populations : exponential and geometric growth and decay
- Age- and- stage-structured linear models : relaxing the assumption of population homogeniety
- Nonlinear models of single populations : the continuous time logistic model
- Discrete logistic growth, oscillations, and chaos
- Harvesting and the logistic model
- Predators and their prey
- Competition between two species, mutualism, and species invasions
- Multispecies community and food web models
- Inorganic resources, mass balance, resource uptake, and resource use efficiency
- Litter return, nutrient cycling, and ecosystem stability
- Consumer regulation of nutrient cycling
- Stoichiometry and linked element cycles
- Transitions between populations and states in landscapes
- Diffusion, advection, the spread of populations and resources, and the emergence of spatial patterns
- Appendix : Matlab commands for equilibrium and stability analysis of multi-compartment models by solving the Jacobian and its eigenvalues.