Positive solutions to the reaction diffusion equations for prey-predator models with dormancy of predators
Analysis of PDEs
2019-08-30 v1
Abstract
The time-global unique solvability on the reaction diffusion equations for prey-predator models with density-dependent inhibitor and dormancy on predators is established. The crucial step of the proof is to construct time-local non-negative classical solutions. To do so, new successive approximation and theories of time-evolution operators are used. Due to the maximum principle, the solutions are extended time-globally. Via analysis on the corresponding ordinary differential equations, invariant regions and asymptotic behaviors of solutions are also investigated.
Cite
@article{arxiv.1908.11050,
title = {Positive solutions to the reaction diffusion equations for prey-predator models with dormancy of predators},
author = {Novrianti and O. Sawada and N. Tsuge},
journal= {arXiv preprint arXiv:1908.11050},
year = {2019}
}