@@ In biology, it is very important to investigate the movement of some cells ororganisms in some given biological system (cf. ［1, 2］). In order to understand howthe movement rules are affected by the effect of the chemo-attractant, Othmer and Stevens introduced in ［1］ several general classes of partial differential equations. In one of their models, they considered a master equation, i.e. barrier and nearestneighbor lattice model. Following a limiting process the model is described by the following system of partial differential equations:
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