Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source

Lu Xu, ,College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China, Chunlai Mu, Qiao Xin, ,College of Mathematics and Statistics, Yili Normal University, Yining 835000, China
2019 Discrete and Continuous Dynamical Systems. Series A  
This paper deals with the global boundedness of solutions to the forager-exploiter model with logistic sources   under homogeneous Neumann boundary conditions in a smoothly bounded domain Ω ⊂ R 2 , where the constants µ, µ 1 , µ 2 , λ, m and l are positive. We prove that the corresponding initial-boundary value problem possesses a global classical solution that is uniformly bounded under conditions 2 ≤ m < 3, l ≥ 3, r(x, t) ∈ C 1 (Ω × [0, ∞)) ∪ L ∞ (Ω × (0, ∞)) and the smooth nonnegative
more » ... th nonnegative initial functions, which improves the results obtained by Wang and Wang (MMMAS 2020).
doi:10.3934/dcds.2020396 fatcat:otodgcvk5jhdxbdxscxb73xzia