Research graph
References from Stability and Bifurcation Structure of a Discrete-Time Chemostat Model with Nutrient Recycling. Local targets link to admitted publications; unresolved targets remain external evidence.
Chemostat culture systems support diverse bacteriophage communities from human feces
2025 · External reference
A chemostat-based model for growing bacterial biofilms
10.1128/spectrum.02333-25 · 2025 · External reference
Modeling, stability analysis, and optimal control of a chemostat model for mutualistic bacterial species with leachate recycling
10.3934/math.20251264 · 2025 · External reference
Multiple limit cycles in the chemostat with variable yield
10.1016/s0025-5564(02)00214-6 · 2003 · External reference
Stability and stabilization for models of chemostats with multiple limiting substrates
10.1080/17513758.2012.663795 · 2012 · External reference
A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative
10.1142/s0218348x23401813 · 2023 · External reference
Stability and bifurcations in a model of chemostat with two inter-connected inhibitions and a negative feedback loop
10.1002/mma.10349 · 2025 · External reference
A complex dynamics of discrete-time chemostat model: Codimension-one and two bifurcations analysis
10.1007/s12190-025-02605-x · 2025 · External reference
Bifurcation analysis of a discrete-time chemostat model
10.1155/2023/7518261 · 2023 · External reference
On the stability, chaos and bifurcation analysis of a discrete-time chemostat model using the piecewise constant argument method
10.3934/math.20241615 · 2024 · External reference
10.1201/9780429399640
10.1201/9780429399640 · External reference
10.3390/axioms12111031
10.3390/axioms12111031 · External reference
Complex dynamics of a discretized predator-prey system with prey refuge using a piecewise constant argument method
10.1142/s0218127424501207 · 2024 · External reference
Dynamical transitions and chaos control in a discrete predator-prey model with Gompertz growth and Holling type III response
10.1016/j.chaos.2025.117071 · 2025 · External reference
Complex dynamics of a discrete-time model with prey refuge and Holling type-II functional response
2022 · External reference
Impact of carrying capacity on the dynamics of a discrete-time plant-herbivore system
10.1016/j.chaos.2025.117284 · 2025 · External reference
10.1007/978-1-4612-1140-2
10.1007/978-1-4612-1140-2 · External reference
Unresolved reference
External reference
10.1007/978-1-4757-3978-7
10.1007/978-1-4757-3978-7 · External reference
10.1142/3033
10.1142/3033 · External reference
Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor
10.3934/mbe.2022313 · 2022 · External reference
Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
10.1016/s0960-0779(03)00028-6 · 2003 · External reference
Stability and bifurcations in a model of chemostat with two inter-connected inhibitions and a negative feedback loop
10.1002/mma.10349 · ExternalCitation · doi-reference
10.1007/978-1-4612-1140-2
10.1007/978-1-4612-1140-2 · ExternalCitation · doi-reference
10.1007/978-1-4757-3978-7
10.1007/978-1-4757-3978-7 · ExternalCitation · doi-reference
A complex dynamics of discrete-time chemostat model: Codimension-one and two bifurcations analysis
10.1007/s12190-025-02605-x · ExternalCitation · doi-reference
Dynamical transitions and chaos control in a discrete predator-prey model with Gompertz growth and Holling type III response
10.1016/j.chaos.2025.117071 · ExternalCitation · doi-reference
Impact of carrying capacity on the dynamics of a discrete-time plant-herbivore system
10.1016/j.chaos.2025.117284 · ExternalCitation · doi-reference
Multiple limit cycles in the chemostat with variable yield
10.1016/s0025-5564(02)00214-6 · ExternalCitation · doi-reference
Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
10.1016/s0960-0779(03)00028-6 · ExternalCitation · doi-reference
Stability and stabilization for models of chemostats with multiple limiting substrates
10.1080/17513758.2012.663795 · ExternalCitation · doi-reference
A chemostat-based model for growing bacterial biofilms
10.1128/spectrum.02333-25 · ExternalCitation · doi-reference
10.1142/3033
10.1142/3033 · ExternalCitation · doi-reference
Complex dynamics of a discretized predator-prey system with prey refuge using a piecewise constant argument method
10.1142/s0218127424501207 · ExternalCitation · doi-reference
A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative
10.1142/s0218348x23401813 · ExternalCitation · doi-reference
Bifurcation analysis of a discrete-time chemostat model
10.1155/2023/7518261 · ExternalCitation · doi-reference
10.1201/9780429399640
10.1201/9780429399640 · ExternalCitation · doi-reference
10.3390/axioms12111031
10.3390/axioms12111031 · ExternalCitation · doi-reference
On the stability, chaos and bifurcation analysis of a discrete-time chemostat model using the piecewise constant argument method
10.3934/math.20241615 · ExternalCitation · doi-reference
Modeling, stability analysis, and optimal control of a chemostat model for mutualistic bacterial species with leachate recycling
10.3934/math.20251264 · ExternalCitation · doi-reference
Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor
10.3934/mbe.2022313 · ExternalCitation · doi-reference
