In this paper, we study a vaccination model for tuberculosis (TB) dynamics at the population level. We prove that the solution to the model is positive and bounded. The basic reproduction number is determined. We show that the disease-free equilibrium (DFE) is globally asymptotically stable if and the existence of at least one endemic equilibrium of the model. Numerical simulations of the model...

In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator. Meanwhile, the local stability of the Schrödingerean equilibrium and endemic equilibrium of the model are also discussed. We specially analyze the existence and stability of the Schrödingerean Hopf bifurcation...

We study an epidemic model with a nonlinear incidence rate which describes the psychological effect of certain serious diseases on the community when the ratio of the number of infectives to that of the susceptibles is getting larger. The model has set up a challenging issue regarding its dynamics near the origin since it is not well defined there. By carrying out a global analysis of the model...

Cost overruns are endemic in military procurement projects and pervasive in other areas. This paper studies a model in which the apparent cost overruns arise not as systematic expectational errors but as equilibrium phenomena. The possibility of renegotiating payments when cost overruns occur results in firms bidding below their true estimate of expected project costs. This can cause the initia...

Seasonality of infectious disease is an important factor in incidence, outbreaks, control and prevention. Many mathematical models that incorporate seasonality the transmission were formulated analyzed. In this essay a qualitative analysis given terms effective reproduction number R0, existence stability disease-free equilibrium endemic both SEIR model seasonal model. We perform numerical simul...

HIV/AIDS is a serious health problem that continues to present significant concern in underdeveloped nations and may be mostly brought on via unprotected sex. This study designed analyzed using dynamic modeling approach investigate the of model with vertical transmission impact knowledge its treatment. Our proposed exhibit disease free endemic equilibrium. The uniqueness exactness were investig...

In this paper, we introduce a two-strain SIR epidemic model with viral mutation and vaccine administration. We discuss analyze the existence stability of equilibrium points. This has three types points, namely disease-free equilibrium, dominance point strain two, coexistence endemic point. The local two are verified by using Routh--Hurwitz criteria, while for global used suitable Lyapunov funct...

This paper demonstrates input-to-state stability (ISS) of the SIR model infectious diseases with respect to disease-free equilibrium and endemic equilibrium. Lyapunov functions are constructed verify that both equilibria individually robust perturbation newborn/immigration rate which determines eventual state populations in epidemics. The construction analysis geome...

We formulate an epidemic model for the spread of an infectious disease along with population dispersal over an arbitrary number of distinct regions. Structuring the population by the time elapsed since the start of travel, we describe the infectious disease dynamics during transportation as well as in the regions. As a result, we obtain a system of delay differential equations. We define the ba...