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Li Zhang – International Journal of Mathematical Education in Science and Technology, 2024
We present an intriguing topic in a mathematical modelling course where Lanchester models are taught to our students. Lanchester models are some of the earliest and most important models used for combat modelling. We describe modelling activities and the use of technology that can be implemented in teaching this topic in this paper.
Descriptors: Mathematical Models, Equations (Mathematics), Simulation, Mathematics Instruction
Using Physical Simulations to Motivate the Use of Differential Equations in Models of Disease Spread
Elizabeth G. Arnold; Elizabeth A. Burroughs; Owen Burroughs; Mary Alice Carlson – International Journal of Mathematical Education in Science and Technology, 2024
The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…
Descriptors: Calculus, Communicable Diseases, Disease Control, Simulation