The spreading fronts in a mutualistic model with delay
2016 ◽
Vol 09
(06)
◽
pp. 1650080
Keyword(s):
This paper is concerned with a system of semilinear parabolic equations with two free boundaries describing the spreading fronts of the invasive species in a mutualistic ecological model. The local existence and uniqueness of a classical solution are obtained and the asymptotic behavior of the free boundary problem is studied. Our results indicate that two free boundaries tend monotonically to finite or infinite limits at the same time, and the free boundary problem admits a global slow solution with unbounded free boundaries if the intra-specific competitions are strong, while if the intra-specific competitions are weak, there exist the blowup solution and global fast solution.
1983 ◽
Vol 5
(1)
◽
pp. 308-330
2017 ◽
Vol 147
(3)
◽
pp. 615-648
◽
2009 ◽
Vol 62
(11)
◽
pp. 1551-1594
◽
1980 ◽
Vol 5
(9)
◽
pp. 969-981
2019 ◽
Vol 51
(2)
◽
pp. 748-789
◽
1995 ◽
Vol 6
(3)
◽
pp. 225-245
2015 ◽
Vol 29
(3)
◽
pp. 957-979
◽
Keyword(s):