On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach.
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| Title: | On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach. |
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| Authors: | Zhang, Zhaoqi1,2, Sun, Liangliang1 sunll0321@163.com |
| Source: | Mathematical Modelling & Analysis. 2026, Vol. 31 Issue 3, p521-541. 21p. |
| Subjects: | Inverse problems, Optimal control theory, Epidemiological models, Stability criterion, Optimization algorithms, Reaction-diffusion equations, Lipschitz continuity |
| Abstract: | In this paper, we study a coefficients inversion problem of a coupled system controlled by three reaction-diffusion equations describing a simple dynamic model of a drug epidemic in an idealized community from the final measurement data. Firstly, the optimization theory is used to transform the given problem into an optimal control problem, and the existence of minimizer is established. Then the stability estimates of the Lipschitz type for the three spatially varying coefficients are proved, where the upper bounds are given by some Lebesgue norms of the final measure. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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