@Article{EAJAM-12-564, author = {}, 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 = {

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 $\alpha < (ac/b)·r +a/b,$ 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.220421.280921}, url = {http://global-sci.org/intro/article_detail/eajam/20407.html} }