Boundedness of Solution to Nonlinear Predator-Prey Model with Competition
In this study, we focus on analyzing a nonlinear predator-prey model incorporating a competitive mechanism. Through the me-ticulous construction of the test function φ(w) and the calculation of the weighted integrals(∫Ωupφ(w) )and(∫Ωvpφ(w)), we establish the Lp(Ω) boundedness of both variables u and v. Utilizing a Moser-Alikakhos-type iterative approach, we effectively demonstrate the exist-ence of a globally bounded classical solution for the model under given specific parameter constraints.