A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure

Liu，Siyu1; Huang，Haomin2; Wang，Mingxin3

2020-05-05

10.3934/dcdsb.2019245

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B   影响因子和分区

1531-3492

1553-524X

In this paper we consider a free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure. In our model, the individuals of a new or invasive predatory species are classified as belonging to either the immature or mature case. Firstly, the global existence, uniqueness, regularity of the solution are derived. And then when vanishing happens, we get uniform estimates and the long time behavior of the solution. At last, a sharp criterion governing spreading and vanishing for the free boundary problem is studied by the upper and lower solution method.

Degenerate diffusion Free boundary Global existence Spreading Stage structure Vanishing

SCI

英语

其他

NSFC[11771110] ; NSFC[11971128]

Mathematics

Mathematics, Applied

WOS:000520895100003

AMER INST MATHEMATICAL SCIENCES-AIMS

MATHEMATICS

2-s2.0-85078570421

Scopus

1.School of Mathematics,Harbin Institute of Technology,Harbin,150001,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518000,China
3.School of Mathematics and Statistics,Wuhan University,Wuhan,430000,China

Liu，Siyu,Huang，Haomin,Wang，Mingxin. A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2020,25(5):1649-1670.

Liu，Siyu,Huang，Haomin,&Wang，Mingxin.(2020).A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,25(5),1649-1670.

Liu，Siyu,et al."A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 25.5(2020):1649-1670.