In this talk, we demonstrate the effect of sub-logistic source in 2D minimal chemotaxis-only, chemotaxis-haptotaxis and chemotaxis- fluid models: our boundedness improves known“blow-up prevention by logistic source”to “blow-up prevention by sub-logistic source”in respective cases, indicating standard logistic source is not the weakest damping source to guarantee boundedness, and our stability improves known algebraic convergence under quadratic degradation to exponential convergence under log-correction of quadratic degradation, implying log-correction of quadratic degradation quickens the decay of bounded solutions. Our findings show certain negligiblity of haptotaxis or fluid interaction on chemotaxis in 2D.

会议密码:1005