@Article{EAJAM-12-564,
author = {Qian Zhao and Bin Liu},
title = {Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {3},
pages = {564--589},
abstract = {<p style="text-align: justify;">This paper considers the global existence and boundedness of classical solutions to a predator-prey-mutualist model with prey-taxis. In addition, by constructing
the Lyapunov functionals, we proved when $\alpha &lt; (ac/b)·r +a/b,$ the positive equilibrium
point is globally asymptotic stable; and when $\alpha \in ((ac/b)·r + a/b, M_1),$ the semi-trivial
equilibrium point is globally asymptotic stable. Finally, we give some numerical examples to validate our results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.220421.280921},
url = {http://global-sci.org/intro/article_detail/eajam/20407.html}
}