Geodesic
Numerical method for solving an inverse problem for a population model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 490-500

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The inverse problem of determining the growth rate coefficient of biological objects from additional information on their time-dependent density is considered. Two nonlinear integral equations are derived for the unknown coefficient, which is determined on part of its domain from one equation and on the remaining part from the other equation. The nonlinear integral equations are solved by iterative methods. The convergence conditions for the iterative methods are formulated, and results of numerical experiments are presented. 
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     author = {A. M. Denisov and A. S. Makeev},
     title = {Numerical method for solving an inverse problem for a~population model},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a12/}
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A. M. Denisov; A. S. Makeev. Numerical method for solving an inverse problem for a population model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 490-500. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a12/