Open AccessBoundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction
Author(s) -
Chao Liu,
Bin Liu
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021255
Subject(s) - mathematics , bounded function , homogeneous , norm (philosophy) , pursuit evasion , evasion (ethics) , combinatorics , mathematical analysis , mathematical optimization , biology , immune system , political science , law , immunology
In this paper, we study the prey-predator model with indirect pursuit-evasion interaction defined on a smooth bounded domain with homogeneous Neumann boundary conditions. We obtain the globa existence and boundedness of the classical solution of the model by estimating \begin{document}$ L^{p} $\end{document} -norm of \begin{document}$ u $\end{document} and \begin{document}$ v $\end{document} , and we also show the large time behavior and convergence rate of the solution.