In vitroDNA-based predator-prey system with oscillatory kinetics
β Scribed by J. Ackermann; B. Wlotzka; J.S. McCaskill
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 302 KB
- Volume
- 60
- Category
- Article
- ISSN
- 1522-9602
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β¦ Synopsis
A coupled system of two isothermal in vitro DNA/RNA amplification reactions using different primers is modeled kinetically with realistic rate parameters and shown to exhibit oscillatory behavior in a flow reactor. One of the two isothermal amplification reactions acts as a predator of the other, the prey. The mechanism of the oscillatory behavior is analyzed in terms of a hierarchy of kinetic models. The work provides an insight into the choice of parameters for experiments. The latter are important in providing detailed insight into the complex processes of ecological interactions and their evolution.
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Predator-prey models where one or more terms involve ratios of the predator and prey populations may not be valid mathematically unless it can be shown that solutions with positive initial conditions never get arbitrarily close to the axis in question, i.e. that persistence holds. By means of a tran
The present paper is concerned with a delayed predator-prey diffusion system with a Beddington-DeAngelis functional response and homogeneous Neumann boundary conditions. If the positive constant steady state of the corresponding system without delay is stable, by choosing the delay as the bifurcatio