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Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection
(Hindawi, 2020-08-01)
In this paper, we study the dynamics of soil-transmitted helminth infection. We formulate and analyse a deterministic compartmental model using nonlinear differential equations. The basic reproduction number is obtained ...
Dividend Maximization Under a Set Ruin Probability Target in the Presence of Proportional and Excess-of-loss Reinsurance
(Applications and Applied Mathematics, 2020-06)
We study dividend maximization with set ruin probability targets for an insurance company whose
surplus is modelled by a diffusion perturbed classical risk process. The company is permitted to
enter into proportional or ...
A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters
(Springer Nature, 2020-06-11)
Temperature is one of the integral environmental drivers that strongly affect the distribution and density of tsetse fly population. Precisely, ectotherm performance measures, such as development rate, survival probability ...
Dynamical and optimal control analysis of a seasonal Trypanosoma brucei rhodesiense model
(AIMS Press, 2020-02-27)
The e ects of seasonal variations on the epidemiology of Trypanosoma brucei rhodesiense
disease is well documented. In particular, seasonal variations alter vector development rates and
behaviour, thereby influencing the ...
Modeling the Transmission Dynamics of Bovine Tuberculosis
(Hindawi, 2020-03-30)
Bovine tuberculosis (bTB) is a bacterial and zoonotic disease which is transmitted through consumption of unpasteurized milk and uncooked meat and inhalation of aerosols. In this paper, a deterministic mathematical model ...
Mathematical Modelling of Drug Abuse and it’s Effect in the Society
(Annals of Pure and Applied Mathematics, 2021-12)
Modeling the Effects of Helminth Infection on the Transmission Dynamics of Mycobacterium tuberculosis under Optimal Control Strategies.
(Hindawi, 2020-11-18)
A deterministic mathematical model for the transmission and control of cointeraction of helminths and tuberculosis is presented, to examine the impact of helminth on tuberculosis and the effect of control strategies. The ...
Desirable Dog-Rabies Control Methods in an Urban setting in Africa - a Mathematical Model
(Modern Education and Computer Science Press, 2020-02-08)
Rabies is a fatal, zoonotic, viral disease that causes an acute inflammation of the brain in humans and other
mammals. It is transmitted through contact with bodily fluids of infected mammals, usually via bites or
scratches. ...
Modeling and analysis of taeniasis and cysticercosis transmission dynamics in humans, pigs and cattle
(Springer Nature, 2021-03-19)
Taeniasis and cysticercosis pose a significant challenge to food safety and public
health. Cysticercosis reduces the market value for pigs and cattle by making pork and
beef unsafe for consumption. In this paper, a ...
Modelling the Control of the Impact of Fall Armyworm (Spodoptera frugiperda) Infestations on Maize Production
(Hindawi, 2021-02-18)
In this paper, we propose and analyze a stage-structured mathematical model for modelling the control of the impact of Fall Armyworm infestations on maize production. Preliminary analysis of the model in the vegetative and ...