45
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On a class of stochastic functional-differential equations arising in population dynamics

&
Pages 75-115 | Published online: 04 Apr 2007

References

  • Britton , N. F. 1990 . Spatial structures and periodic travelling waves in an integrodifferential reaction-diffusion population model . Siam J. Appl. Math. , 50 : 1663 – 88 .
  • Cushing , J. M. 1977 . “ Integrodifferential equations and delay models in population dynamics ” . Lecture Notes in Biomath Vol. 20 , New York : Springer .
  • Gourley , S. A. and Britton , N. F. 1993 . Instability of travelling wave solutions of a population model with nonlocal effects . Siam J. Appl. Math. , 51 : 299 – 310 .
  • Feller , W. 1939 . “ On the logistic law of growth and its empirical verification in biology ” . Vol. 5 , 51 – 65 . Acta Biotheoretica .
  • Funaki , T. 1983 . Random motion of strings and related evolution equations . Nagoya Math. J. , 89 : 129 – 193 .
  • Ikeda , N. and Watanabe , S. 1981 . “ Stochastic Differential Equations and Diffusion Processes ” . New York : North Holland .
  • Manthey , R. and Mittmann , K. 1993 . Bounded solutions of stochastic reaction-diffusion equations . Stochastics and Stochastics Reports , 44 : 153 – 166 .
  • Manthey , R. and Mittmann , K. 1994 . Stochastic reaction-diffusion equations with continuous reaction . Stochastics and Stochastics Reports , 48 : 61 – 82 .
  • Manthey , R. and Stiewe , Ch. 1992 . Existence and uniqueness of solutions to Volterra's population equation with diffusion and noise . Stochastics and Stochastics Reports , 41 : 135 – 161 .
  • Redlinger , R. 1985 . On Volterra's population equation with diffusion . Siam J. Math. Anal. , 16 : 135 – 142 .
  • Walsh , J. B. 1981 . A stochastic model of neural response . Adv. Appl. Prob. , 13 : 231 – 281 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.