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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 mathematical model for the MLND dynamics and Sensitivity analysis in a maize population
(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 ...
Modeling malaria sensitive and resistant strains with superinfection
(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 ...
Modeling Transmission Dynamics of Northern Corn Leaf Blight Disease with Seasonal Weather Variations
(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. ...
Mathematical Model for the Transmission Dynamics of Bovine Tuberculosis in Human and Livestock with Control Strategies
(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 ...
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 ...
Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Model
(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 ...
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 ...