Found 620 Documents (Results 1–100)
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat. (English) Zbl 07885660
A stochastic non-autonomous chemostat model with mean-reverting Ornstein-Uhlenbeck process on the washout rate. (English) Zbl 07876096
Stabilization of age-structured chemostat hyperbolic PDE with actuator dynamics. (English) Zbl 1541.92053
A mathematical model of competition between fiber and mucin degraders in the gut provides a possible explanation for mucus thinning. (English) Zbl 1541.92027
Dynamics of a competition model with intra- and interspecific interference in the unstirred chemostat. (English) Zbl 1541.35284
A simple NSFD inspired method for Monod kinetics with small half saturation constants in the chemostat setting. (English) Zbl 1542.37073
Gumel, Abba B. (ed.), Mathematical and computational modeling of phenomena arising in population biology and nonlinear oscillations. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 793, 61-73 (2024).
Environmental stochasticity driving the extinction of top predators in a food chain chemostat model. (English) Zbl 1541.34069
Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model. (English) Zbl 1540.92099
A simple model of nutrient recycling and dormancy in a chemostat: mathematical analysis and a second-order nonstandard finite difference method. (English) Zbl 1535.92001
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply. (English) Zbl 1534.34066
On permanence and extinction for a nonautonomous chemostat model with delays. (English) Zbl 1535.34072
Geometric ergodicity and ultimate boundedness of a stochastic chemostat model with general nutrient uptake function. (English) Zbl 1533.92138
Multiplicity of neutrally stable periodic orbits with coexistence in the chemostat subject to periodic removal rate. (English) Zbl 1534.34054
The dynamical behavior and periodic solution in delayed nonautonomous chemostat models. (English) Zbl 07919788
Dynamical analysis of a chemostat model for 4-chlorophenol and sodium salicylate mixture biodegradation. (English) Zbl 07896144
Quasi-stationary behavior for a piecewise deterministic Markov model of chemostat: the Crump-Young model. (Comportement quasi-stationnaire d’un modèle Markovien déterministe par Morceaux de chemostat: le modèle de Crump-Young.) (English. French summary) Zbl 1532.92061
Stabilization of the chemostat system with mutations and application to microbial production. (English) Zbl 1531.92060
Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth. (English) Zbl 1523.92013
Survival and ergodicity of a stochastic microorganism flocculation model with nonlinear response functionals. (English) Zbl 1523.92008
Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response and higher-order Lévy jumps. (English) Zbl 1526.34061
The stochastic periodic behavior of a chemostat model with periodic nutrient input. (English) Zbl 1525.37095
Persistent competition models between healthy cells and cancer cells in a tissue. (English) Zbl 1520.92018
Dynamical behavior of a stochastic food chain chemostat model with variable yields. (English) Zbl 1519.92131
Optimal protein production by a synthetic microbial consortium: coexistence, distribution of labor, and syntrophy. (English) Zbl 1519.92133
Dynamical analysis of nonautonomous trophic cascade chemostat model with regime switching and nonlinear perturbations in a polluted environment. (English) Zbl 1519.92132
A mathematical investigation for the simulation and forecasting of a biodigester operations. (English) Zbl 1540.92018
MSC:
92-10
Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy. (English) Zbl 1520.34052
Dynamics of a discrete size-structured chemostat with variable nutrient supply. (English) Zbl 1518.92088
A note on the stationary probability density function and covariance matrix of a stochastic chemostat model with distributed delay. (English) Zbl 1519.34093
Coexistence of competing species with flocculation in an unstirred chemostat. (English) Zbl 1505.92169
Stability of the chemostat system including a linear coupling between species. (English) Zbl 1508.34048
Regime shifts between oscillatory persistence and extinction in a stochastic chemostat model with periodic parameters. (English) Zbl 07906558
Estimates of solutions to differential equations with distributed delay describing the competition of several types of microorganisms. (Russian. English summary) Zbl 07868542
Sib. Zh. Ind. Mat. 25, No. 4, 193-205 (2022); translation in J. Appl. Ind. Math. 16, No. 4, 800-808 (2022).
Method development for emergent properties in stage-structured population models with stochastic resource growth. (English) Zbl 1533.92162
Malyarenko, Anatoliy (ed.) et al., Stochastic processes, statistical methods, and engineering mathematics. SPAS 2019, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 408, 33-58 (2022).
Dynamics of a stochastic delayed chemostat model with nutrient storage and Lévy jumps. (English) Zbl 1507.92066
A nonautonomous chemostat model for the growth of gut microbiome with varying nutrient. (English) Zbl 1495.92038
Long-time behavior and density function of a stochastic chemostat model with degenerate diffusion. (English) Zbl 1495.93076
Threshold dynamics in a stochastic chemostat model under regime switching. (English) Zbl 07562495
MSC:
82-XX
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations. (English) Zbl 1501.34041
The effect of diffusion on the dynamics of a predator-prey chemostat model. (English) Zbl 1491.35025
Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth. (English) Zbl 1486.92119
A competition model in the chemostat with allelopathy and substrate inhibition. (English) Zbl 1494.34123
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations. (English) Zbl 1472.92144
Local analysis for a mutual inhibition in presence of two viruses in a chemostat. (English) Zbl 1524.34109
Global dynamics of a stochastic chemostat model with general response function and wall growth. (Chinese. English summary) Zbl 1524.92060
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics. (English) Zbl 1525.34089
Noise-induced stochastic transition: a stochastic chemostat model with two complementary nutrients and flocculation effect. (English) Zbl 1486.92122
Bifurcation analysis of a bioreactor model with variable yield coefficient and oxygen coefficient. (English) Zbl 1486.92121
Periodic solutions for a stochastic chemostat model with impulsive perturbation on the nutrient. (English) Zbl 1482.92051
Competition of two host species for a single-limited resource mediated by parasites. (English) Zbl 1476.92035
Stationary probability density of a stochastic chemostat model with Monod growth response function. (English) Zbl 1484.37056
A mathematical model of anaerobic digestion with syntrophic relationship, substrate inhibition, and distinct removal rates. (English) Zbl 1483.34064
Determining the competition outcome in the chemostat: general response functions and delayed growth. (English) Zbl 1472.92145
MSC:
92C75
Spatial dynamics of competing model in a periodic unstirred chemostat with delay. (English) Zbl 1488.92011
Existence and stability of positive solutions for an unstirred chemostat model with toxins. (Chinese. English summary) Zbl 1488.35032
Stationary distribution and extinction for a food chain chemostat model with random perturbation. (English) Zbl 1469.92077
Ergodicity and threshold behaviors of a predator-prey model in stochastic chemostat driven by regime switching. (English) Zbl 1472.34098
Dynamical behavior of stochastic competition between plasmid-bearing and plasmid-free organisms in a chemostat model. (English) Zbl 1469.92075
Mathematical analysis of an “SIR” epidemic model in a continuous reactor – deterministic and probabilistic approaches. (English) Zbl 1471.34091
Dynamics of the food-chain population in a polluted environment with impulsive input of toxicant. (English) Zbl 1466.92229
The evolution of the irreversible transition from a free-swimming state to an immobile sessile state in aquatic invertebrates modelled in a chemostat. (English) Zbl 1465.92074
Global analysis of a model of competition in the chemostat with internal inhibitor. (English) Zbl 1469.34064
Interspecific density-dependent model of predator-prey relationship in the chemostat. (English) Zbl 1461.92093
A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function. (English) Zbl 1508.92161
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. (English) Zbl 1460.92129
Steady-state solutions of one-dimensional competition models in an unstirred chemostat via the fixed point index theory. (English) Zbl 1468.45004
Reviewer: Alexander N. Tynda (Penza)
A predator-prey model in the chemostat with Holling type II response function. (English) Zbl 1498.92148
Stochastic characteristics of a chemostat model with variable yield. (English) Zbl 07571805
MSC:
82-XX
Stationary distribution of a stochastic chemostat model with Beddington-DeAngelis functional response. (English) Zbl 07528404
MSC:
82-XX
Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant. (English) Zbl 1486.92318
Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate. (English) Zbl 1471.92215
Study of performance criteria of serial configuration of two chemostats. (English) Zbl 1471.92216
MSC:
92C75
On asymptotical behavior of a stochastic chemostat model with variable yield. (Chinese. English summary) Zbl 1474.34346
Existence and uniqueness of positive solutions to an unstirred chemostat with toxins. (Chinese. English summary) Zbl 1474.35059
Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance. (English) Zbl 1465.37106
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