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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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    Modeling the Dynamics of Rabies Transmission with Vaccination and Stability Analysis 

    Ega, Tesfaye Tadesse; Luboobi, Livingstone S.; Kuznetsov, Dmitry (Science Publishing Group, 2015-10-09)
    In this paper we formulate a deterministic mathematical model for the transmission dynamics of rabies in human and animal within and around Addis Ababa, Ethiopia. Our model involves vaccination program for dog population. ...
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    A mathematical model for the MLND dynamics and Sensitivity analysis in a maize population 

    Aloyce, William; Kuznetsov, Dmitry; Luboobi, Livingstone s. (Asian Journal of Mathematics and Applications, 2017)
    Maize Lethal Necrosis disease (MLND) is a viral disease that can cause fatal damage to the crop of maize plants. This is very common in East Africa countries and Democratic Republic of Congo (DRC). In this manuscript, a ...
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    Modeling malaria sensitive and resistant strains with superinfection 

    Bimbiga, Ivy; Irunde, Jacob Ismail; Kuznetsov, Dmitry (Communications in Mathematical Biology and Neuroscience, 2019-03-08)
    In this paper, a deterministic model to examine the dynamics of malaria with sensitive and resistant strains in the presence of superinfection is formulated and presented. The basic reproduction is computed using next-generation ...
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    Modeling Transmission Dynamics of Northern Corn Leaf Blight Disease with Seasonal Weather Variations 

    Kapange, Fred; Irunde, Jacob Ismail; Kuznetsov, Dmitry (Journal of Mathematics and Informatics, 2019-01-31)
    Northern Corn Leaf Blight (NCLB) disease is a fungal foliar disease caused by Exserohilum turcicum. Moderate temperature and high relative humidity are climatical conditions which favor the development of NCLB disease. ...
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    Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies 

    Sabini, Theresia Shirima; Nyerere, Nkuba; Irunde, Jacob Ismail; Kuznetsov, Dmitry (International Journal of Advances in Scientific Research and Engineering (ijasre), 2019-10)
    A deterministic mathematical model for bovine tuberculosis (bovine TB) in humans and livestock is formulated and used to assess the effectiveness of dairy products inspection, human treatment and quarantine of infected ...
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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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    Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Model 

    Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady (MDPI, 2019-10-14)
    In this paper, a mathematical model for the transmission dynamics of Trypanosoma brucei rhodesiense that incorporates three species—namely, human, animal and vector—is formulated and analyzed. Two controls representing ...
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    Mathematical model for the effects of treatment and vaccination controls on the dynamics of rotavirus disease with reference to Uganda 

    Namawejje, Hellen; Luboobi, Livingstone S.; Kuznetsov, Dmitry; Wobudeya, Eric (SCIK Publishing Corporation, 2014)
    In this paper, while Rotavirus has been a recognised disease for a long time in developing countries like Uganda, the control of this endemic disease is still a challenge. We formulated a mathematical model for the dynamics ...
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    Kuznetsov, Dmitry (18)
    Irunde, Jacob Ismail (4)Kgosimore, Moatlhodi (4)Helikumi, Mlyashimbi (3)Luboobi, Livingstone (3)Luboobi, Livingstone S. (3)Mushayabasa, Steady (3)Kasozi, Juma (2)Kasumo, Christian (2)Sabini, Theresia Shirima (2)... View MoreSubjectMATHEMATICS (4)Mathematical model (2)Reproduction number (2)Sensitivity analysis (2)Trypanosoma brucei rhodesiense (2)awareness programs (1)Block-by-block method (1)Bovine tuberculosis (1)Caputo fractional derivative (1)Culling for Dog Control (1)... View MoreDate Issued2020 (7)2019 (4)2015 (2)2021 (2)2014 (1)2017 (1)2018 (1)Has File(s)Yes (18)

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