Global Boundedness of a Diffusive Predator-Prey Model with Indirect Signal Production
In spatial predator-prey models,in addition to the random diffusion of predator and prey,there is also chemotaxis phenomenon.The cell movement is directed towards the increasing chemical signal con-centration,which is called the attractive chemotaxis.And another type chemotaxis model is called repul-sive chemotaxis,which indicates that cells move away from the increasing signal concentration.Based on the predator-prey system and chemotaxis system,we considered a diffusive predator-prey model with indi-rect signal production,where the prey was divided into the uninjured prey and injured prey.This model showed the predator-prey behavior involving the advection effect induced by the chemical signals released by the injured prey,in which the predator was attracted to the chemical excreted by injured prey during the capturing,and which repelled the uninjured prey.The global existence and boundedness of solutions of the system on bounded domains with no-flux boundary condition of Neumann is proved by using the semigroup arguments and Moser-Alikakos iteration,when the arbitrary spatial dimension holds n≤3 and chemotaxis sensitivity coefficients are arbitrary.
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维普
