A Lotka–Volterra type reaction–diffusion predator–prey model with stage structure for the predator and time delay due to maturity is investigated. By successively modifying the coupled lower–upper solution pairs, sufficient conditions independent of the effect of spatial diffusion are derived for the global convergence of positive solutions to the proposed problem.
- Stage structure
- Time delay
- Predator-prey model
Xu, R., Chaplain, M. A. J., & Davidson, F. A. (2006). Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Applied Mathematics and Computation, 176(1), 388-401. https://doi.org/10.1016/j.amc.2005.09.028