Document Type
Article
Publication Title
International Journal of Applied and Computational Mathematics
Abstract
This paper investigates the existence of traveling wave solutions for diffusive two-species Lotka–Volterra systems with delays in both the reaction and diffusion terms under partial monotonicity assumptions. The model incorporates small-memory effects in the homo- geneous diffusion term, representing a modification of the random-walk interpretation underlying Fick’s law. We extend the partial (cross) monotone iteration method to systems satisfying a partial quasi-monotone condition through the construction of appropriate upper and lower solutions. Convergence of the iteration is established using Schauder’s fixed point theorem.
Department
Mathematics and Statistics
Publication Date
1-11-2026
Recommended Citation
Barker, W. (2026). Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity. International Journal of Applied and Computational Mathematics, 12, Article 43. https://doi.org/10.1007/s40819-026-02113-x
