Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients
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Publication:5193352
DOI10.1142/S1793524519500633zbMath1451.60057OpenAlexW2946993332WikidataQ127819627 ScholiaQ127819627MaRDI QIDQ5193352
Tasawar Hayat, Miaomiao Gao, Daqing Jiang
Publication date: 10 September 2019
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524519500633
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Physiological, cellular and medical topics (92C99)
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Cites Work
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- Stochastic SEIR model with jumps
- Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
- Competitive exclusion in a stochastic chemostat model with Holling type II functional response
- Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior
- An analogue of break-even concentration in a simple stochastic chemostat model
- On the stability of a periodic solution of distributed parameters biochemical system
- Periodic solutions of Fokker-Planck equations
- Competition in a chemostat with Beddington-DeAngelis growth rates and periodic pulsed nutrient
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- Positive solutions of a competition model for two resources in the unstirred chemostat
- Exploitative competition in the chemostat for two perfectly substitutable resources
- An examination of the thresholds of enrichment: A resource-based growth model
- Dynamical analysis of multi-nutrient and single microorganism chemostat model in a polluted environment
- Dynamical behavior of a stochastic two-species monod competition chemostat model
- Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- Threshold dynamics of a stochastic chemostat model with two nutrients and one microorganism
- Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation
- Analysis of a stochastic HIV-1 infection model with degenerate diffusion
- Periodic solution of stochastic process in the distributional sense
- The periodic solutions of a stochastic chemostat model with periodic washout rate
- Global analysis of competition for perfectly substitutable resources with linear response
- BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations
- The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- A Mathematical Model of the Chemostat with Periodic Washout Rate
- Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay
- A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat
- The Theory of the Chemostat
- Asymptotic behavior of a Lotka–Volterra food chain stochastic model in the Chemostat
