Now showing items 11-20 of 23
On Minimizing the Ultimate Ruin Probability of an Insurer by Reinsurance
We consider an insurance company whose reserves dynamics follow a diffusion-perturbed risk model. To reduce its risk, the company chooses to reinsure using proportional or excess-of-loss reinsurance. Using the ...
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.
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
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 ...
Modeling cryptosporidiosis in humans and cattle: Deterministic and stochastic approaches
Cryptosporidiosis is a zoonotic disease caused by Cryptosporidium. The disease poses a public and veterinary health problem worldwide. A deterministic model and its corresponding continuous time Markov chain (CTMC) stochastic ...
Dynamic modelling and optimal control analysis of a fractional order chikungunya disease model with temperature effects
Approximately 1.3 billion inhabitants in 94 countries are estimated to be at risk of chikungunya virus infection. A mechanistic compartmental model based on fractional calculus, the Caputo derivative has been proposed ...
Modeling the effects of temperature and heterogeneous biting exposure on chikungunya virus disease dynamics
Within the last decades, chikungunya virus (CHIKV), a mosquito-borne arboviral disease transmitted by Aedes species mosquitoes has been a growing public health burden. Approximately 1.3 billion inhabitants in 94 countries ...
Quantifying the effects of temperature and predation on the growth of Aedes mosquito population
(Springer Nature, 2023-01-10)
Despite having been tested in multiple settings, the quantitative impact of predatory aquatic insects to reduce mosquito population remains unclear. To address this question, an ecological model of Aedes mosquito population ...