In this study, a deterministic mathematical model was used to investigate the dynamics of typhoid disease by using different optimal control strategies. The qualitative behavior of the control profile revealed that prevention has a higher impact in minimizing the incide چکیده کامل
In this study, a deterministic mathematical model was used to investigate the dynamics of typhoid disease by using different optimal control strategies. The qualitative behavior of the control profile revealed that prevention has a higher impact in minimizing the incidence of the disease. Finally it was shown that applying all the three control strategies rapidly minimizes typhoid disease from the population.
پرونده مقاله
‎Hepatitis B virus (HBV) infection is a major public health problem in the world today‎. ‎A mathematical model is formulated to describe the spread of hepatitis B‎, ‎which can be controlled by vaccination as well as treatment‎. ‎We study the چکیده کامل
‎Hepatitis B virus (HBV) infection is a major public health problem in the world today‎. ‎A mathematical model is formulated to describe the spread of hepatitis B‎, ‎which can be controlled by vaccination as well as treatment‎. ‎We study the dynamical behavior of the system with fixed control for both vaccination and treatment‎. ‎The results shows that the dynamics of the model is completely determined by the basic reproductive number R_0. ‎if R_0<1, ‎the disease-free equilibrium is globally asymptotically stable by using approach that given by Kamgang and Sallet‎. ‎Then the authors prove that if R_0>1, ‎the disease-free equilibrium is unstable and the disease is uniformly persistent‎. ‎Furthermore‎, ‎If R_0>1, ‎the unique endemic equilibrium is globally asymptotically stable by using a generalization of the Poincar e-Bendixson ‎criterion.‎
پرونده مقاله
An epidemic model with optimal control strategies was investigated for Hepatitus C Viral disease that can be transmitted through infected individuals. In this study, we used a deterministic compartmental model for assessing the effect of different optimal control strate چکیده کامل
An epidemic model with optimal control strategies was investigated for Hepatitus C Viral disease that can be transmitted through infected individuals. In this study, we used a deterministic compartmental model for assessing the effect of different optimal control strategies for controlling the spread of Hepatitus C disease in the community. Stability theory of differential equations is used to study the qualitative behavior of the system. The basic reproduction number that represents the epidemic indicator is obtained by using the condition of endemicity. Both the local stability and global stability conditions for disease free equilibrium is established. Uniqueness of endemic equilibrium point and its global stability conditions are proved. Numerical simulation of the model showed that applying all the intervention strategies can successfully eliminate Hepatitus C viral disease from the community.
پرونده مقاله
Onchocerciasis, usually referred to as river blindness, a skin and eye parasitic infestation is caused by the filarial nematode Onchocerca volvulus. Current control and eradication efforts are being frustrated by the continued existence and thriving of blackflies which چکیده کامل
Onchocerciasis, usually referred to as river blindness, a skin and eye parasitic infestation is caused by the filarial nematode Onchocerca volvulus. Current control and eradication efforts are being frustrated by the continued existence and thriving of blackflies which are the disease transmitting vectors that breed along the banks of fast flowing and highly oxygenated rivers and streams. This study aims at assessing the effect of using vector traps on the transmission and control of onchocerciasis. A host-vector deterministic model which incorporates vector trapping by use of a system of ordinary differential equations is developed. The model is analysed for steady states and the basic reproduction number is obtained using the next generation method. It is found that the disease free steady state is stable if the basic reproduction number R0<1. There exists a unique endemic equilibrium which is locally and globally asymptotically stable if R0>1. Numerical simulations show that trapping the blackfly vectors has an effect on the spread and control of the disease. However, it is discovered that using traps alone is not a sufficient strategy and needs to be combined with other methods if the disease is to be completely wiped out of the population.
پرونده مقاله
سکوی نشر دانش
سند یا سکوی نشر دانش ،سامانه ای جهت مدیریت حوزه علمی و پژوهشی نشریات دانشگاه آزاد می باشد
