Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source

From MaRDI portal
Publication:1640812

DOI10.1016/j.nonrwa.2017.12.007OpenAlexW2783364279MaRDI QIDQ1640812

Xiangdong Zhao, Sining Zheng

Publication date: 14 June 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.12.007




Related Items (27)

Global boundedness to a parabolic-parabolic chemotaxis model with nonlinear diffusion and singular sensitivityA new result for global solvability in a singular chemotaxis-growth system with indirect signal productionGlobal existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivityGlobal classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivityBoundedness on a fully parabolic singular chemotaxis system with indirect signal production and logistic sourceBoundedness of classical solutions for a chemotaxis model with rotational flux termsEventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumptionGlobal existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic sourceGlobal solutions in a chemotaxis consumption model with singular sensitivityGlobal boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivityDepleting the signal: Analysis of chemotaxis‐consumption models—A surveyGlobal dynamics of a two-species chemotaxis-consumption system with signal-dependent motilitiesClassical solutions to a logistic chemotaxis model with singular sensitivity and signal absorptionOn the global generalized solvability of a chemotaxis model with signal absorption and logistic growth termsGlobal existence of a chemotactic movement with singular sensitivity by two stimuliAsymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic sourceGlobal existence and boundedness to a two-species chemotaxis-competition model with singular sensitivityOn a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumptionKeller-Segel chemotaxis models: a reviewOptimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rateThe logistic chemotaxis system with singular sensitivity and signal absorption in dimension twoNonlinear stability of diffusive contact wave for a chemotaxis modelGlobal existence in a chemotaxis system with singular sensitivity and signal productionGlobal solutions to a two-species chemotaxis system with singular sensitivity and logistic sourceGlobal existence, boundedness and asymptotic behavior to a chemotaxis model with singular sensitivity and logistic sourceGlobal existence to a chemotaxis-consumption model with nonlinear diffusion and singular sensitivityApproaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities



Cites Work


This page was built for publication: Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source