In English

Critical Transitions in Generalised Lotka-Volterra Systems With Random Interaction Strengths and Positive Self-Growth

Karl Nyman
Göteborg : Chalmers tekniska högskola, 2015. VII s.
[Examensarbete på avancerad nivå]

With better understanding of what causes complex systems to undergo critical transitions, unwanted consequences can be avoided or turned into opportunities [23]. In this thesis I add to that understanding by investigating criticality in an example complex system called the generalised Lotka-Volterra equations. Exploration of this system also adds nuance to May’s comment in the diversity-complexity debate [16]. I restrict myself to positive self-growth and random interactions between species and investigate how system behaviour changes as the average interaction strength increases, using computer simulations and analytical methods. In line with May’s thesis I find that large systems undergo critical transitions for lower than small systems, but the route to system instability or collapse goes throug

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