In this paper, a mathematical model of breast cancer governed by system ordinary differential equations in the presence chemotherapy treatment and ketogenic diet is discussed. Several comprehensive analyses were carried out using variety analytical methods to study stability model. Also, sufficient conditions on parameter values ensure persistence absence anti-cancer drugs, diet, emission when immune-booster, are included established. Furthermore, optimal control theory applied discover drug...

Novel Coronavirus is a highly infectious disease, with over one million confirmed cases and thousands of deaths recorded. The disease has become pandemic, affecting almost all nations the world, caused enormous economic, social psychological burden on countries. Hygiene educational campaign programmes have been identified to be potent public health interventions that can curtail spread disease. In order verify this claim quantitatively, we propose analyze non-linear mathematical model...

This article suggested and analyzed the transmission dynamics of malaria disease in a population using nonlinear mathematical model. The deterministic compartmental model was examined stability theory differential equations. reproduction number obtained to be asymptotically stable conditions for disease-free, endemic equilibria were determined. Moreso, qualitatively evaluated incorporates time-dependent variable controls which aimed at reducing proliferation disease. optimal control problem...

Abstract Coronaviruses are types of viruses that widely spread in humans, birds, and other mammals, leading to hepatic, respiratory, neurologic, enteric diseases. The disease is presently a pandemic with great medical, economical, political impacts, it mostly through physical contact. To extinct the virus, keeping distance taking vaccine key. In this study, dynamical transmission compartment model for coronavirus (COVID-19) designed rigorously analyzed using Routh–Hurwitz condition stability...

In this paper, a mathematical model of breast cancer governed by system ordinary differential equations in the presence chemotherapy treatment and ketogenic diet is discussed. Several comprehensive analysis was carried out using varieties analytical methods to study stability model. Also, sufficient conditions on parameter values ensure persistence absence anti-cancer drugs emission when drugs, immune-booster, are included were established. Furthermore, optimal control theory applied find...

In this paper, a deterministic mathematical model of the Dengue virus with nonlinear incidence function in population is presented and rigorously analysed. The incorporates control measures at aquatic adult stages vector (mosquito). stability system analysed for disease-free equilibrium existence endemic equilibria under certain conditions. local Dengue-free investigated via threshold parameter (reproduction number) that was obtained using next-generation matrix techniques. Routh–Hurwitz...

Malaria is a mosquito-borne disease spread by an infected vector (infected female Anopheles mosquito) or through transfusion of plasmodium-infected blood to susceptible individuals. The burden has resulted in high global mortality, particularly among children under the age five. Many intervention responses have been implemented control malaria transmission, including screening, Long-Lasting Insecticide Bed Nets (LLIN), treatment with anti-malaria drug, spraying chemicals/pesticides on...

In this study, the analysis of inherent irreversibility chemical reactive third-grade poiseuille flow a variable viscosity with convective cooling is investigated. The dissipative heat in exothermic moves over liquid an irreversible way and entropy produced unceasingly system within fixed walls. exchange surrounding temperature at plate surface follows Newton’s law cooling. solutions dimensionless nonlinear equations are obtained using weighted residual method (WRM). used to obtain Bejan...

Cancer is a leading cause of morbidity and mortality worldwide, yet much still unknown about its mechanism establishment destruction. Recently, studies had shown that tumor cells cannot survive under the high temperature conditions. This treatment technique called Hyperthermia. report presents case radiative microwave heating hyperthermia therapy on breast cancer in porous medium. In this study, steady state solved analytically while unsteady using semi-implicit finite difference to get more...

Malaria is known globally as the foremost cause of death in children and adults. Several intervention strategies controls have been implemented proposed, among which Long Lasting Insecticide Treated Nets (LLINs). cases reported to reduce by [Formula: see text] due use LLINs. However, laid-back behaviors humans negatively impact its effective through improper handling exposure direct sunlight. To this end, a mathematical model formulated investigate influence individual response information...

Following the idea presented with regard to elastic-net and Liu-LASSO estimators, we proposed a new penalized estimator based on Kibria–Lukman L1-norms perform both regularization variable selection. We defined coordinate descent algorithm for compared its performance those of some existing machine learning techniques, such as least absolute shrinkage selection operator (LASSO), elastic-net, Liu-LASSO, GO ridge estimator, through simulation studies real-life applications in terms test mean...

Investigation into the mathematical analysis of affinity hemodialysis on T-cell depletion is considered to give more significant understanding infection dynamics HIV. Our model revealed possibility than two infected equilibriums with incorporation recovery through hemodialysis. The conditions for stable equilibrium prevent full-blown AIDS are obtained and stated as hypothesis. This work has, therefore, open way partnerships among modelers clinicians strengthening insight nature process viral...

Abstract In this research, we present a deterministic epidemiological mathematical model that delves into the intricate dynamics of co-existence tuberculosis and diabetes. Our comprehensive analysis explores interplay influence diabetes on incidence within human population segregated diabetic non-diabetic subgroups. The incorporates saturated rates treatment regimens for latent infections, offering insights their impact control. Theoretical findings reveal emergence phenomenon known as...

In this research, we present a deterministic epidemiological mathematical model that delves into the intricate dynamics of coexistence tuberculosis and diabetes. Our comprehensive analysis explores interplay influence diabetes on incidence within human population segregated diabetic non-diabetic groups. The incorporates saturated rate treatment regimen for latent infections, offering insights their impact control. theoretical findings reveal emergence phenomenon known as backward...