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arXiv · 1407.5591

Autonomous models on a Cayley tree

Mohammad Khorrami·Amir Aghamohammadi
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Abstract

The most general single species autonomous reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced. The stationary solutions of such models, as well as their dynamics, are discussed. To study dynamics of the system, directionally-symmetric Green function for evolution equation of average number density is obtained. In some limiting cases the Green function is studied. Some examples are worked out in more detail.

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Mohammad Khorrami, Amir Aghamohammadi. 2014-07-21. Autonomous models on a Cayley tree. https://doi.org/10.1088/1742-5468%2F2014%2F07%2Fp07017

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