A simple stochastic mathematical model is developed and investigated for early human immunodeficiency virus type-1 (HIV-1) population dynamics. The model, which is a multi-dimensional diffusion process, includes activated uninfected CD4 + T cells, latently and actively infected CD4 + T cells and fre
A Non-stochastic Approach for Modeling Uncertainty in Population Dynamics
✍ Scribed by Vlastimil Křivan; Giovanni Colombo
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 304 KB
- Volume
- 60
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
We developed a non-stochastic methodology to deal with the uncertainty in models of population dynamics. This approach assumed that noise is bounded; it led to models based on differential inclusions rather than stochastic processes, and avoided stochastic calculus. Examples of estimations of extinction times for exponential and logistic population growth with environmental and demographic noise are presented.
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