Geodesic
On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 287-303

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We study some classes of convolution-type nonlinear integral equations that are directly related to the problems of geographic spread of epidemic diseases. Under various constraints on the nonlinearity and the kernel of the equation, we prove existence theorems for monotonic and bounded solutions. We also present specific examples of application of these equations.
Keywords: epidemic, iterations, monotonicity, nonlinearity, bounded solution. 
@article{TM_2019_306_a21,
     author = {A. Kh. Khachatryan and Kh. A. Khachatryan},
     title = {On the {Solvability} of {Some} {Nonlinear} {Integral} {Equations} in {Problems} of {Epidemic} {Spread}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {287--303},
     publisher = {mathdoc},
     volume = {306},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_306_a21/}
}
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A. Kh. Khachatryan; Kh. A. Khachatryan. On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 287-303. http://geodesic.mathdoc.fr/item/TM_2019_306_a21/