Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
Theory Biosci. 2023 May 16:1-18. doi: 10.1007/s12064-023-00392-2. Online ahead of print.ABSTRACTIn this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence rate and vaccination strategies. By constructing the suitable Lyapunov function, we examine the existence and uniqueness of the stochastic system. With the help of Khas'minskii theory, we set up a critical value [Formula: see text] with respect to the basic reproduction number [Formula: see text] of the deterministic system. A unique ergodic stationary distribution is investigated unde...
Source: Theory in Biosciences - May 16, 2023 Category: Biology Authors: Prasenjit Mahato Sanat Kumar Mahato Subhashis Das Partha Karmakar Source Type: research
Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
Theory Biosci. 2023 May 16:1-18. doi: 10.1007/s12064-023-00392-2. Online ahead of print.ABSTRACTIn this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence rate and vaccination strategies. By constructing the suitable Lyapunov function, we examine the existence and uniqueness of the stochastic system. With the help of Khas'minskii theory, we set up a critical value [Formula: see text] with respect to the basic reproduction number [Formula: see text] of the deterministic system. A unique ergodic stationary distribution is investigated unde...
Source: Theory in Biosciences - May 16, 2023 Category: Biology Authors: Prasenjit Mahato Sanat Kumar Mahato Subhashis Das Partha Karmakar Source Type: research
Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
Theory Biosci. 2023 May 16:1-18. doi: 10.1007/s12064-023-00392-2. Online ahead of print.ABSTRACTIn this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence rate and vaccination strategies. By constructing the suitable Lyapunov function, we examine the existence and uniqueness of the stochastic system. With the help of Khas'minskii theory, we set up a critical value [Formula: see text] with respect to the basic reproduction number [Formula: see text] of the deterministic system. A unique ergodic stationary distribution is investigated unde...
Source: Theory in Biosciences - May 16, 2023 Category: Biology Authors: Prasenjit Mahato Sanat Kumar Mahato Subhashis Das Partha Karmakar Source Type: research
Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
Theory Biosci. 2023 May 16:1-18. doi: 10.1007/s12064-023-00392-2. Online ahead of print.ABSTRACTIn this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence rate and vaccination strategies. By constructing the suitable Lyapunov function, we examine the existence and uniqueness of the stochastic system. With the help of Khas'minskii theory, we set up a critical value [Formula: see text] with respect to the basic reproduction number [Formula: see text] of the deterministic system. A unique ergodic stationary distribution is investigated unde...
Source: Theory in Biosciences - May 16, 2023 Category: Biology Authors: Prasenjit Mahato Sanat Kumar Mahato Subhashis Das Partha Karmakar Source Type: research
Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
Theory Biosci. 2023 May 16. doi: 10.1007/s12064-023-00392-2. Online ahead of print.ABSTRACTIn this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence rate and vaccination strategies. By constructing the suitable Lyapunov function, we examine the existence and uniqueness of the stochastic system. With the help of Khas'minskii theory, we set up a critical value [Formula: see text] with respect to the basic reproduction number [Formula: see text] of the deterministic system. A unique ergodic stationary distribution is investigated under the...
Source: Theory in Biosciences - May 16, 2023 Category: Biology Authors: Prasenjit Mahato Sanat Kumar Mahato Subhashis Das Partha Karmakar Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
A biological and a mathematical model of SLE treated by mesenchymal stem cells covering all the stages of the disease
In this study, we proposed a biological model explaining the progress of autoimmune activation along different stages of systemic lupus erythematosus (SLE). For any upcoming stage of SLE, any new component is introduced, when it is added to the model. Particularly, the interaction of mesenchymal stem cells, with the components of the model, is specified in a way that both the inflammatory and anti-inflammatory functions of these cells would be covered. The biological model is then recapitulated to a model with less complexity that explains the main features of the problem. Later, a 7th-order mathematical model for SLE is p...
Source: Theory in Biosciences - April 18, 2023 Category: Biology Authors: Ali Yazdani Fariba Bahrami Arash Pourgholaminejad Reza Moghadasali Source Type: research
