TY - JOUR
T1 - Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator
A1 - Xu,Rui
A1 - Chaplain,M. A. J.
A1 - Davidson,F. A.
AU - Xu,Rui
AU - Chaplain,M. A. J.
AU - Davidson,F. A.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
KW - Reaction-diffusion
KW - Stage structure
KW - Time delay
KW - Predator-prey model
U2 - 10.1016/j.amc.2005.09.028
DO - 10.1016/j.amc.2005.09.028
M3 - Article
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 1
VL - 176
SP - 388
EP - 401
ER -