Propagation of stochastic travelling waves of cooperative systems with noise
2021 ◽
Vol 0
(0)
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pp. 0
Keyword(s):
<p style='text-indent:20px;'>We consider the cooperative system driven by a multiplicative It\^o type white noise. The existence and their approximations of the travelling wave solutions are proven. With a moderately strong noise, the travelling wave solutions are constricted by choosing a suitable marker of wavefront. Moreover, the stochastic Feynman-Kac formula, sup-solution, sub-solution and equilibrium points of the dynamical system corresponding to the stochastic cooperative system are utilized to estimate the asymptotic wave speed, which is closely related to the white noise.</p>
2005 ◽
Vol 135
(4)
◽
pp. 663-675
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Keyword(s):
2005 ◽
Vol 462
(2065)
◽
pp. 229-261
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Keyword(s):
2019 ◽
Vol 31
(3)
◽
pp. 470-510
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