Discrete Type SIR Epidemic Model with Nonlinear Incidence Rate in Presence of Immunity

Abstract

Hemodialysis is a life-preserving treatment for a number of patients with kidney failure. Hemodialysis is usually done three times per week for about four hours at a time. During the hemodialysis procedure, the patient usually suffering from many inconvenient, fatigue, stress and disturbance in the work of the heart and cardiovascular system are the most common signs. This paper provides a solution to reduce the previous problems by designing a wearable artificial kidney (WAK) taking in consideration minimization the size of the dialysis machine. The WAK system consists of two circuits: blood circuit and dialysate circuit. The blood from the patient is filtered in the dialyzer before returning back to the patient. Several parameters using an advanced microcontroller and array of sensors are considered. WAK equipped with visible and audible alarm system to aware the patients if there is any problem.

Mathematical Model Applied to Green Building Concept for Sustainable Cities Under Climate Change

“…Each of the models is used for describing the different-different state of environmental ecology. For example, the SIS model is used to describe the rate of natural births-deaths and disease-related deaths with time (Hethcote & van den Driessche, 1995), the SIR model is used to discuss the spread of epidemiology (Parvin et al, 2020), the Lotka-Volterra model describes the ecological dynamics of the interaction of the species where one is prey and the other one is a predator (Zhu & Yin, 2009), the optimal control strategic model generally discusses the control dynamics of any kinds of an outbreak (Shanta & Biswas, 2020), the Logistic-Model is used to describe the carrying capacity of any species in the environment (Marchetti et al, 1996), etc. The study deals with green building technologies and the emission of GHGs by human communities and their correlations.…”