Mingzhan Huang
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Mingzhan Huang has a total of 22 co-authors. Here are the top co-authors by number of shared publications:
- Shouzong Liu
Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China
9 shared publications - Xinyu Song
School of Mathematics and Statistics, Xinyang Normal University, Xinyang, China
9 shared publications Shouzong Liu
School of Mathematics and Statistics, Xinyang Normal University, Xinyang, China
5 shared publicationsXinyu Song
4 shared publicationsXiaohuan Yu
Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China
3 shared publicationsJiaxu Li
2 shared publications
Latest Publications
- Open Access
- 22 April 2026
- Published by Springer Nature in Advances in Continuous and Discrete Models
- Vol. 2026 (1)
Dynamics of a multi-delay glucose-insulin-glucagon system under dual-hormone impulsive control
- 22 April 2026
- Published by Springer Nature in Advances in Continuous and Discrete Models
- Vol. 2026 (1)
Open AccessDynamics of a multi-delay glucose-insulin-glucagon system under dual-hormone impulsive control
- Open Access
- 1 January 2026
- Published by American Institute of Mathematical Sciences (AIMS) in Electronic Research Archive
- Vol. 34 (4) , 2433-2461
Dynamical analysis of impulsive insulin delivery in a glucose-insulin system with insulin-degrading enzyme effects
This paper investigated impulsive insulin therapy within an extended glucose-insulin regulatory system that included insulin-degrading enzyme dynamics. Two treatment modes were examined: periodic delivery and state-dependent feedback. For the periodic model, we established solution positivity and boundedness, proved the global asymptotic stability of a unique positive periodic solution for type I diabetes, and derived permanence bounds along with a safe dosing region for type II diabetes. For the state-dependent model, under mild conditions, we demonstrated the existence and global orbital asymptotic stability of a unique order-1 periodic orbit within a physiologically relevant glucose range. Numerical simulations supported the theoretical results and illustrated how the choice of dosing period, bolus size, and threshold level influenced long-term glucose control. The results provided a unified theoretical framework for comparing and optimizing impulsive insulin therapies.
- 1 January 2026
- Published by American Institute of Mathematical Sciences (AIMS) in Electronic Research Archive
- Vol. 34 (4) , 2433-2461
Open AccessDynamical analysis of impulsive insulin delivery in a glucose-insulin system with insulin-degrading enzyme effects
This paper investigated impulsive insulin therapy within an extended glucose-insulin regulatory system that included insulin-degrading enzyme dynamics. Two treatment modes were examined: periodic delivery and state-dependent feedback. For the periodic model, we established solution positivity and boundedness, proved the global asymptotic stability of a unique positive periodic solution for type I diabetes, and derived permanence bounds along with a safe dosing region for type II diabetes. For the state-dependent model, under mild conditions, we demonstrated the existence and global orbital asymptotic stability of a unique order-1 periodic orbit within a physiologically relevant glucose range. Numerical simulations supported the theoretical results and illustrated how the choice of dosing period, bolus size, and threshold level influenced long-term glucose control. The results provided a unified theoretical framework for comparing and optimizing impulsive insulin therapies.
- Open Access
- 9 July 2025
- Published by Springer Nature in Advances in Continuous and Discrete Models
- Vol. 2025 (1) , 1-25
Complexity dynamics of a predator-prey system with anti-predatory behavior and weighted state feedback control
- 9 July 2025
- Published by Springer Nature in Advances in Continuous and Discrete Models
- Vol. 2025 (1) , 1-25
Open AccessComplexity dynamics of a predator-prey system with anti-predatory behavior and weighted state feedback control
- 24 October 2024
- Published by Elsevier in Applied Mathematics Letters
- Vol. 160
Implementation strategy of insulin therapy under sparse state feedback
- 24 October 2024
- Published by Elsevier in Applied Mathematics Letters
- Vol. 160
Implementation strategy of insulin therapy under sparse state feedback
- 9 March 2023
- Published by Elsevier in Applied Mathematics Letters
- Vol. 142
Global suppression and periodic change of the mosquito population in a sterile release model with delay
- 9 March 2023
- Published by Elsevier in Applied Mathematics Letters
- Vol. 142
Global suppression and periodic change of the mosquito population in a sterile release model with delay
- Open Access
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (11) , 26968-26990
Dynamics of a Gilpin-Ayala predator-prey system with state feedback weighted harvest strategy
The current research presents a predator-prey model that incorporates both a Gilpin-Ayala growth function and a Holling type Ⅲ functional response. Two Lyapunov functions are established to confirm the global asymptotic stability of the positive equilibrium $ P^{*} $ and the predator extinction equilibrium $ P_{k} $. Considering ecological protection and commercial incentives, we also incorporated a weighted harvesting strategy and pulse control into the model. We investigated intricate dynamical problems instigated by the weighting harvesting and pulse effects, and affirmed the existence and local asymptotic stability of both predator-extinction periodic solution and positive order-1 periodic solution. In the end, a suite of numerical simulations were carried out using MATLAB, aiming to corroborate the theoretical findings and deliver conclusions rooted in a biological context.- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (11) , 26968-26990
Open AccessDynamics of a Gilpin-Ayala predator-prey system with state feedback weighted harvest strategy
The current research presents a predator-prey model that incorporates both a Gilpin-Ayala growth function and a Holling type Ⅲ functional response. Two Lyapunov functions are established to confirm the global asymptotic stability of the positive equilibrium $ P^{*} $ and the predator extinction equilibrium $ P_{k} $. Considering ecological protection and commercial incentives, we also incorporated a weighted harvesting strategy and pulse control into the model. We investigated intricate dynamical problems instigated by the weighting harvesting and pulse effects, and affirmed the existence and local asymptotic stability of both predator-extinction periodic solution and positive order-1 periodic solution. In the end, a suite of numerical simulations were carried out using MATLAB, aiming to corroborate the theoretical findings and deliver conclusions rooted in a biological context. - Open Access
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (8) , 18546-18565
Dynamic analysis of a mosquito population model with a stage structure and periodic releases of sterile males
This paper focuses on the key issues of mosquito population control, particularly exploring the impact of periodic releases of sterile males in the population model with a stage structure. We construct and analyze a model that includes only sexually active sterile mosquitoes in the dynamic interaction system. We focus on the system's dynamical behaviors under two scenarios: when the sexual lifespan $ \bar{T} $ equals the release period $ T $ of sterile mosquitoes, and when $ \bar{T} $ is less than $ T $. In the first scenario, we explore the existence and stability of equilibria, identifying a pivotal threshold $ m^* $ that determines the requisite release amount. In the second scenario, we convert the problem into an impulsive switched system and derive sufficient conditions for the local asymptotic stability of the extinction equilibrium. We also establish the existence of positive periodic solutions using the geometric method of differential equations and the fixed point theorem. Our conclusions show that the relationship between the sexual lifespan and release period of sterile mosquitoes significantly impacts the stability of the mosquito population. Additionally, our numerical simulations not only corroborate but they also complement our theoretical findings.- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 8 (8) , 18546-18565
Open AccessDynamic analysis of a mosquito population model with a stage structure and periodic releases of sterile males
This paper focuses on the key issues of mosquito population control, particularly exploring the impact of periodic releases of sterile males in the population model with a stage structure. We construct and analyze a model that includes only sexually active sterile mosquitoes in the dynamic interaction system. We focus on the system's dynamical behaviors under two scenarios: when the sexual lifespan $ \bar{T} $ equals the release period $ T $ of sterile mosquitoes, and when $ \bar{T} $ is less than $ T $. In the first scenario, we explore the existence and stability of equilibria, identifying a pivotal threshold $ m^* $ that determines the requisite release amount. In the second scenario, we convert the problem into an impulsive switched system and derive sufficient conditions for the local asymptotic stability of the extinction equilibrium. We also establish the existence of positive periodic solutions using the geometric method of differential equations and the fixed point theorem. Our conclusions show that the relationship between the sexual lifespan and release period of sterile mosquitoes significantly impacts the stability of the mosquito population. Additionally, our numerical simulations not only corroborate but they also complement our theoretical findings. - Open Access
- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Electronic Research Archive
- Vol. 31 (7) , 3895-3914
Modeling and analysis of release strategies of sterile mosquitoes incorporating stage and sex structure of wild ones
This paper proposes and studies a switched interactive model of wild and sterile mosquitoes with stage and sex structure. Sterile males are released periodically and impulsively and remain sexually active for time $ \bar{T} $. We investigate the dynamical behavior of the system when the release period $ T $ is shorter than the sexual lifespan $ \bar{T} $, corresponding to a relatively frequent release. We first determine two important thresholds, $ m_1^* $ and $ m_2^* $, for the release amount $ m $ and prove the exponential asymptotic stability of the extinction equilibrium. Using fixed point theory, we establish the existence of positive periodic solutions for $ 0 < m < m_1^* $ and $ m_1^*\leq m < m_2^* $. Furthermore, by applying the comparison theorem of monotone systems, we demonstrate that the extinction equilibrium is globally asymptotically stable when $ m\geq m_2^* $. Finally, numerical examples are presented to confirm our theoretical results.- 1 January 2023
- Published by American Institute of Mathematical Sciences (AIMS) in Electronic Research Archive
- Vol. 31 (7) , 3895-3914
Open AccessModeling and analysis of release strategies of sterile mosquitoes incorporating stage and sex structure of wild ones
This paper proposes and studies a switched interactive model of wild and sterile mosquitoes with stage and sex structure. Sterile males are released periodically and impulsively and remain sexually active for time $ \bar{T} $. We investigate the dynamical behavior of the system when the release period $ T $ is shorter than the sexual lifespan $ \bar{T} $, corresponding to a relatively frequent release. We first determine two important thresholds, $ m_1^* $ and $ m_2^* $, for the release amount $ m $ and prove the exponential asymptotic stability of the extinction equilibrium. Using fixed point theory, we establish the existence of positive periodic solutions for $ 0 < m < m_1^* $ and $ m_1^*\leq m < m_2^* $. Furthermore, by applying the comparison theorem of monotone systems, we demonstrate that the extinction equilibrium is globally asymptotically stable when $ m\geq m_2^* $. Finally, numerical examples are presented to confirm our theoretical results. - 21 April 2022
- Published by Springer Nature in Acta Mathematica Scientia
- Vol. 42 (3) , 1141-1159
Control Strategies for a Tumor-Immune System with Impulsive Drug Delivery under a Random Environment
- 21 April 2022
- Published by Springer Nature in Acta Mathematica Scientia
- Vol. 42 (3) , 1141-1159
Control Strategies for a Tumor-Immune System with Impulsive Drug Delivery under a Random Environment
- Open Access
- 23 November 2020
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2020 (1) , 1-23
Optimal selection of injection doses and injection timings for insulin therapy in a limited time
In this paper, we study the injection strategies of insulin for the impulsive therapy of diabetes in a limited time. According to whether we consider the risk of hypoglycemia or not, we develop two different control objectives and investigate three different injection strategies for each control objective. We apply a time-rescaling method to overcome technical obstacles in optimal impulsive control and compute the gradient formulas of cost functions with respect to injection doses and injection timings. By means of numerical simulations we get the optimal injection doses and injection timings for each injection strategy. Our study indicates that for the control objective without considering the risk of hypoglycemia, the optimal injection timing control is more effective than the optimal injection dose control, whereas the mixed control achieves almost the same effect as the optimal injection timing control. For the other control objective considering the risk of hypoglycemia, the optimal injection timing control performs better than the optimal injection dose control in avoiding emergence of hypoglycemia, and the mixed control provides the best strategy in preventing hyperglycemia from occurrence.
- 23 November 2020
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2020 (1) , 1-23
Open AccessOptimal selection of injection doses and injection timings for insulin therapy in a limited time
In this paper, we study the injection strategies of insulin for the impulsive therapy of diabetes in a limited time. According to whether we consider the risk of hypoglycemia or not, we develop two different control objectives and investigate three different injection strategies for each control objective. We apply a time-rescaling method to overcome technical obstacles in optimal impulsive control and compute the gradient formulas of cost functions with respect to injection doses and injection timings. By means of numerical simulations we get the optimal injection doses and injection timings for each injection strategy. Our study indicates that for the control objective without considering the risk of hypoglycemia, the optimal injection timing control is more effective than the optimal injection dose control, whereas the mixed control achieves almost the same effect as the optimal injection timing control. For the other control objective considering the risk of hypoglycemia, the optimal injection timing control performs better than the optimal injection dose control in avoiding emergence of hypoglycemia, and the mixed control provides the best strategy in preventing hyperglycemia from occurrence.