TY - JOUR
T1 - Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 564
EP - 589
PY - 2022
DA - 2022/04
SN - 12
DO - http://doi.org/10.4208/eajam.220421.280921
UR - https://global-sci.org/intro/article_detail/eajam/20407.html
KW - Chemotaxis, predator-prey-mutualist, boundedness, stabilization.
AB - <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>