ANALYSIS AND NUMERICAL-SIMULATION FOR A N ONSTRICTLY HYPERBOLIC SYSTEM ARISING IN BIOLOGY

This Note deals with numerical resolution of system describing the evo lution of bacterial population in one space dimension. In some experim ents, we inoculate bacteria into a capillar test tube containing a chi mical solution called substrate e. g. oxygen, glucose... After a momen t, we observe chemotactic phenomena. One may consider the model propos ed by Keller and Segel [2] as hyperbolic system without diffusion term s. We study here, different systems of partial differential equations.