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    Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection 

    Lambura, Aristide G.; Mwanga, Gasper G.; Luboobi, Livingstone; Kuznetsov, Dmitry (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 ...
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    Dividend Maximization Under a Set Ruin Probability Target in the Presence of Proportional and Excess-of-loss Reinsurance 

    Kasumo, Christian; Kasozi, Juma; Kuznetsov, Dmitry (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 ...
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    A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters 

    Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (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 ...
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    Dynamical and optimal control analysis of a seasonal Trypanosoma brucei rhodesiense model 

    Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (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 ...
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    Modeling the Transmission Dynamics of Bovine Tuberculosis 

    Sabini, Theresia Shirima; Irunde, Jacob Ismail; Kuznetsov, Dmitry (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 ...
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    Modeling the Effects of Helminth Infection on the Transmission Dynamics of Mycobacterium tuberculosis under Optimal Control Strategies. 

    Lambura, Aristide; Mwanga, Gasper; Luboobi, Livingstone; Kuznetsov, Dmitry (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 ...
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    Desirable Dog-Rabies Control Methods in an Urban setting in Africa - a Mathematical Model 

    Renalda, Edwiga Kishinda; Kuznetsov, Dmitry; Kreppel, Katharina (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. ...

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    Author
    Kuznetsov, Dmitry (7)
    Helikumi, Mlyashimbi (2)Kgosimore, Moatlhodi (2)Luboobi, Livingstone (2)Mushayabasa, Steady (2)Irunde, Jacob Ismail (1)Kasozi, Juma (1)Kasumo, Christian (1)Kreppel, Katharina (1)Lambura, Aristide (1)... View MoreSubjectMATHEMATICS (2)Trypanosoma brucei rhodesiense (2)Block-by-block method (1)Caputo fractional derivative (1)Culling for Dog Control (1)Hamilton-Jacobi-Bellman equation (1)Mathematical model (1)optimal control (1)Reproduction Number (1)Ruin probability (1)... View MoreDate Issued
    2020 (7)
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