TY - JOUR
T1 - Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries
AU - Du, Yihong
AU - Wu, Chang-Hong
PY - 2018/4/1
Y1 - 2018/4/1
N2 - We investigate the spreading behavior of two invasive species modeled by a Lotka–Volterra diffusive competition system with two free boundaries in a spherically symmetric setting. We show that, for the weak–strong competition case, under suitable assumptions, both species in the system can successfully spread into the available environment, but their spreading speeds are different, and their population masses tend to segregate, with the slower spreading competitor having its population concentrating on an expanding ball, say Bt, and the faster spreading competitor concentrating on a spherical shell outside Bt that disappears to infinity as time goes to infinity.
AB - We investigate the spreading behavior of two invasive species modeled by a Lotka–Volterra diffusive competition system with two free boundaries in a spherically symmetric setting. We show that, for the weak–strong competition case, under suitable assumptions, both species in the system can successfully spread into the available environment, but their spreading speeds are different, and their population masses tend to segregate, with the slower spreading competitor having its population concentrating on an expanding ball, say Bt, and the faster spreading competitor concentrating on a spherical shell outside Bt that disappears to infinity as time goes to infinity.
KW - 35K51
KW - 35R35
KW - 92B05
UR - http://www.scopus.com/inward/record.url?scp=85043474988&partnerID=8YFLogxK
U2 - 10.1007/s00526-018-1339-5
DO - 10.1007/s00526-018-1339-5
M3 - Article
AN - SCOPUS:85043474988
VL - 57
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 2
M1 - 52
ER -