The travelling wave fronts of nonlinear reaction–diffusion systems via Friedlin's stochastic approaches
1994 ◽
Vol 124
(2)
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pp. 273-299
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Keyword(s):
In this paper we study the asymptotic behaviour of reaction–diffusion systems with a small parameter by using then-dimensional Feynman–Kac formula and large deviation theory. The generalised solutions are introduced in Section 2. We obtain the travelling wave joining an unstable steady state and an asymptotically stable steady state of a diffusionless dynamical system in a reaction–diffusion system with nonlinear ergodic interactions, and a special case with nonlinear reducible interactions.
2020 ◽
Vol 17
(35)
◽
pp. 1110-1123
Sensitivity analysis of boundary value problems: application to nonlinear reaction-diffusion systems
1986 ◽
Vol 64
(1)
◽
pp. 27-55
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2006 ◽
Vol 222
(1)
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pp. 185-232
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Keyword(s):
1982 ◽
Vol 87
(1)
◽
pp. 165-198
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Keyword(s):
1983 ◽
Vol 17
(2)
◽
pp. 223-239
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Keyword(s):