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The University of Southampton
Interdisciplinary Research Excellence

Amplified Stochastic Cycles Event

Time:
16:00 - 17:00
Date:
14 October 2011
Venue:
Building 58, Room 1039

Event details

I discuss a systematic approach to the modelling of various biological systems which starts from individual-based models, and then goes on to derive from these the corresponding deterministic equations (which are valid when the size of the system is large) and the leading order stochastic correction to them. The individual-based models are formulated as master equations, which allows use to be made of well-established methods from the theory of these equations to analyse their behaviours. In many cases large and well-defined stochastic cycles arise, even though the corresponding deterministic equations predict the system will approach a fixed point. Application of these ideas to predator-prey dynamics, epidemiology, cellular systems, amongst others, will be discussed.

http://www.theory.physics.manchester.ac.uk/~ajm/

Alan McKane

Complex Systems Simulation Seminar Series (CS^4)

from the Institute for Complex Systems Simulation, the Complexity in Real-World Contexts USRG, and the Computational Modelling Group.

Speaker

Alan McKane

Abstract

I discuss a systematic approach to the modelling of various biological systems which starts from individual-based models, and then goes on to derive from these the corresponding deterministic equations (which are valid when the size of the system is large) and the leading order stochastic correction to them. The individual-based models are formulated as master equations, which allows use to be made of well-established methods from the theory of these equations to analyse their behaviours. In many cases large and well-defined stochastic cycles arise, even though the corresponding deterministic equations predict the system will approach a fixed point. Application of these ideas to predator-prey dynamics, epidemiology, cellular systems, amongst others, will be discussed.

Refreshments

Available from 3:30pm, lecture starts at 4pm.

Complex Systems Simulation Seminar Series

For the complete CS^4 schedule please click here: http://www.interdisciplinary.soton.ac.uk/cs4.html

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