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The influence of predator--prey population dynamics on the long-term evolution of food web structure.
We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are nonlinear, and are based on ratio-dependent functional… Expand
Interactive effects of body-size structure and adaptive foraging on food-web stability.
Body-size structure of food webs and adaptive foraging of consumers are two of the dominant concepts of our understanding how natural ecosystems maintain their stability and diversity. The interplay… Expand
Biological evolution and statistical physics
- B. Drossel
- Physics, Biology
- 26 January 2001
This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in… Expand
The impact of nonlinear functional responses on the long-term evolution of food web structure.
We investigate the long-term web structure emerging in evolutionary food web models when different types of functional responses are used. We find that large and complex webs with several trophic… Expand
Random Boolean Networks
- B. Drossel
- Mathematics, Physics
- 22 June 2007
This review explains in a self-contained way the properties of random Boolean networks and their attractors, with a special focus on critical networks. Using small example networks, analytical… Expand
Sexual reproduction prevails in a world of structured resources in short supply
We present a model for the maintenance of sexual reproduction based on the availability of resources, which is the strongest factor determining the growth of populations. The model compares… Expand
Emergence of complexity in evolving niche-model food webs.
We have analysed mechanisms that promote the emergence of complex structures in evolving model food webs. The niche model is used to determine predator-prey relationships. Complexity is measured by… Expand
Number and length of attractors in a critical Kauffman model with connectivity one.
The Kauffman model describes a system of randomly connected nodes with dynamics based on Boolean update functions. Though it is a simple model, it exhibits very complex behavior for "critical"… Expand
Modelling Food Webs
We review theoretical approaches to the understanding of food webs, which include the population dynamics of several interacting species. Expand
When do evolutionary food web models generate complex networks?
Evolutionary foodweb models are used to build food webs by the repeated addition of new species. Population dynamics leads to the extinction or establishment of a newly added species, and possibly to… Expand