Monotonicity of the Poincaré Mapping in Some Models of Circular Gene Networks

Author:

Golubyatnikov V. P.,Minushkina L. S.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Reference13 articles.

1. T. A. Bukharina, V. P. Golubyatnikov, D. P. Furman, M. V. Kazantsev, and N. E. Kirillova, “Mathematical and Numerical Models of Two Asymmetric Gene Networks,” Sibir. Èlektron. Mat. Izv. 15, 1271–1283 (2018).

2. S. D. Glyzin, A. Yu. Kolesov, and N. Kh. Rozov, “Buffering in Cyclic Gene Networks,” Teoret. Mat. Fiz. 187(3), 560–579 (2016) [Theor. Math. Phys. 187, 935–951 (2016)].

3. V. P. Golubyatnikov and N. E. Kirillova, “On Cycles in Models of Functioning of Circular Gene Networks,” Sibir. Zh. Chist. Prikl.Mat. 18(1), 54–63 (2018).

4. A. Yu. Kolesov. N. Kh. Rozov, and V. A. Sadovnichiĭ, “Periodic Solutions of Travelling-Wave Type in Circular Gene Networks,” Izv. Ross. Akad. Nauk Ser. Mat. 80(3), 67–94 (2016) [Izv. Math. 80, 523–548 (2016)].

5. H. T. Banks and J. M. Mahaffy, “Stability ofCyclic Gene Models for Systems Involving Repression,” J. Theor. Biology. 74, 323–334 (1978).

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