I want to understand the physical significance of the product of D (Delta I) (term of diffusion with D the diffusion coefficient) and S the number of the susceptible.
Delta = Laplace operator
Thanks
I'm not sure that I understand the question fully. However in the simple one dimensional SI epidemic model, the coefficient beta (or k) represents the no. of contacts per unit time of all population members (susceptible or not). The no. of susceptible contacts/unit time is thus beta S/n, where n is total population.S the susceptible population.
If you are considering a 3 dimensional spatial model, the time coefficient could vary with direction.
Thank you for your answer
Yes, the coefficient beta represents the no. of contacts per unit time of all population members (susceptible or not) represented by the term (beta*S*I) now what represents the term (k*S*delta(I)) per unit time,
Thanks Mr Esipov for your answer
I am interest by Spatial and temporal model SEIR-SEI of the Dengue epidemic of
closed population.
That you want to say by “There has to be a compelling reason for this term to be noticeable as compared to the S*I term.”
I think Prof. James Leigh explained it nicely.i agrre with the answer
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