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Dynamic stability and spatial heterogeneityin the individualbased modelling of a lotkavolterra gas

Jacek WaniewskiWojciech JędruchNorbert Żołek — 2004

International Journal of Applied Mathematics and Computer Science

Computer simulation of a few thousands of particles moving (approximately) according to the energy and momentum conservation laws on a tessellation of squares in discrete time steps and interacting according to the predator-prey scheme is analyzed. The population dynamics are described by the basic Lotka-Volterra interactions (multiplication of preys, predation and multiplication of predators, death of predators), but the spatial effects result in differences between the system evolution and the...

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