TRAVELING WAVE SOLUTIONS IN A STAGE-STRUCTURED DELAYED REACTION-DIFFUSION MODEL WITH ADVECTION
2015 ◽
Vol 20
(2)
◽
pp. 168-187
Keyword(s):
We investigate a stage-structured delayed reaction-diffusion model with advection that describes competition between two mature species in water flow. Time delays are incorporated to measure the time lengths from birth to maturity of the populations. We show there exists a finite positive number c∗ that can be characterized as the slowest spreading speed of traveling wave solutions connecting two mono-culture equilibria or connecting a mono-culture with the coexistence equilibrium. The model and mathematical result in [J.F.M. Al-Omari, S.A. Gourley, Stability and travelling fronts in Lotka–Volterra competition models with stage structure, SIAM J. Appl. Math. 63 (2003) 2063–2086] are generalized.
2013 ◽
Vol 18
(2)
◽
pp. 276-281
2007 ◽
Vol 383
(2)
◽
pp. 466-472
◽
2013 ◽
Vol 11
(4)
◽
pp. 1097-1126
◽
2010 ◽
Vol 13
(1)
◽
pp. 157-174
◽
2005 ◽
Vol 194
(1)
◽
pp. 21-36
◽
2014 ◽
Vol 19
(10)
◽
pp. 3267-3281
◽
2012 ◽
Vol 11
(1)
◽
pp. 275-305
◽
2010 ◽
Vol 233
(10)
◽
pp. 2549-2562
◽
2010 ◽
Vol 13
(2)
◽
pp. 393-414
◽
2012 ◽
Vol 78
(6)
◽
pp. 1290-1317
◽