Abstract:
:In linear, stochastic dynamics it is shown that the quasideterministic population size is equivalent to the mean population size. The quasideterministic dynamics are defined by the conditional infinitesimal mean of the process. The stochastic component of the dynamics includes both Gaussian and Poisson white noise, with amplitude coefficients proportional to the population size. Generalizations are given for nonautonomous coefficients and for distributed Poisson jump amplitudes. A counter example--an exactly integrable nonlinear jump model--shows that the equivalence result does not hold for nonlinear stochastic dynamics.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Hanson FB,Ryan Ddoi
10.1016/0025-5564(89)90010-2subject
Has Abstractpub_date
1989-03-01 00:00:00pages
1-14issue
1eissn
0025-5564issn
1879-3134pii
0025-5564(89)90010-2journal_volume
93pub_type
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