Journal
APPLICABLE ANALYSIS
Volume 101, Issue 1, Pages 81-99Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2020.1728259
Keywords
Ratio-dependent; predator-prey system; prey-taxis; global stability; pattern formation
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Funding
- National Natural Science Foundation of China [11601179, 61672013]
- Research Grants Council, University Grants Committee GRF [PolyU 153298/16P, P0005162]
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This paper investigates the global dynamics of a ratio-dependent predator-prey system with prey-taxis. By establishing a mathematical model and conducting numerical simulations, we find that pattern formation may occur and prey-taxis drives the evolution of spatial inhomogeneity.
This paper is concerned with the global dynamics of a ratio-dependent predator-prey system with prey-taxis. We establish the global existence and uniform-in-time boundedness of solutions in any dimensional bounded domain with Neumann boundary conditions, and furthermore prove the global stability of homogeneous steady states under certain conditions. Finally we perform numerical simulations to show that the pattern formation may arise and prey-taxis is a factor driving the evolution of spatial inhomogeneity into homogeneity.
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