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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, October 6, 2020 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Niche Theory and Competitive Lotka-Volterra System
Zhi Hao Shi (National Taiwan University)

Abstract:

The prediction and measurement of ecological niche are fundamental part of modern ecology in both practical and theoretical aspects. It has strong relationship with competitive Lotka-Volterra system and can be served as an intuitive approach to study competition interaction.
 
I will introduce some basic idea of niche theory in the first few parts and talk about my recent study of the connection between niche theory and traveling wave theory in 2 component DLV & evolutionary game theory in the last parts of this speech.
 
Reference
[1] MacArthur, R. (1970). Species packing and competitive equilibrium for many species. Theoretical population biology, 1(1), 1-11.
[2] May, R. M. (2019). Stability and complexity in model ecosystems (Vol. 1). Princeton university press.
[3] Hosono, Y. (1998). The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Bulletin of Mathematical Biology, 60(3), 435-448.
[4] Nowak, M. A. (2006). Evolutionary dynamics: exploring the equations of life. Harvard university press.


 

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