Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Genghong Lin"'
Autor:
Genghong Lin, Yuanxian Hui
Publikováno v:
Journal of Biological Dynamics, Vol 14, Iss 1, Pp 578-589 (2020)
In this work, we study a non-autonomous differential equation model for the interaction of wild and sterile mosquitoes. Suppose that the number of sterile mosquitoes released in the field is a given nonnegative continuous function. We determine a thr
Externí odkaz:
https://doaj.org/article/66a0079482264e298fb783a97545a63f
Publikováno v:
Royal Society Open Science, Vol 9, Iss 2 (2022)
Gene activation is a random process, modelled as a framework of multiple rate-limiting steps listed sequentially, in parallel or in combination. Together with suitably assumed processes of gene inactivation, transcript birth and death, the step numbe
Externí odkaz:
https://doaj.org/article/b9f7cec7e7f849adb8e60fc95ebac2f8
Publikováno v:
Mathematical Biosciences and Engineering, Vol 16, Iss 6, Pp 7362-7374 (2019)
We consider a mosquito population suppression model with time delay. We show that, in the absence of sterile mosquitoes released, the model solutions oscillate with respect to its unique non-zero equilibrium. With the releases of sterile mosquitoes,
Externí odkaz:
https://doaj.org/article/4e768b243e174ed79525be2f0c45e46a
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 96,, Pp 1-14 (2019)
We consider a class of discrete nonlinear Schrodinger (DNLS) equations in m dimensional lattices with partially sublinear nonlinearity f. Combining variational methods and a priori estimate, we give a general sufficient condition on f for type (A)
Externí odkaz:
https://doaj.org/article/f3bc1d1f80124aaaaed88bb20c1ec633
Publikováno v:
PLoS Computational Biology, Vol 15, Iss 4, p e1007017 (2019)
Gene transcription is a noisy process, and cell division cycle is an important source of gene transcription noise. In this work, we develop a mathematical approach by coupling transcription kinetics with cell division cycles to delineate how they are
Externí odkaz:
https://doaj.org/article/23bd006776604348a53b957b83afaef0
Publikováno v:
Royal Society Open Science, Vol 6, Iss 3 (2019)
The transcription of inducible genes involves signalling pathways that induce DNA binding of the downstream transcription factors to form functional promoter states. How the transcription dynamics is linked to the temporal variations of activation si
Externí odkaz:
https://doaj.org/article/57a0c84edef9428996633d971eaf94df
Autor:
Genghong Lin, Zhan Zhou
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is impr
Externí odkaz:
https://doaj.org/article/adf0599b73014dc1a7cb740a199c2312
Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions
Autor:
Genghong Lin, Jianshe Yu
Publikováno v:
SIAM Journal on Mathematical Analysis. 54:1966-2005
Publikováno v:
Applied Mathematical Modelling. 103:51-67
Publikováno v:
Journal of Differential Equations. 283:263-289
Spruce budworm is a major defoliator of forests in North America and its periodic outbreak can cause severe economic growth loss. In 2008, Vaidya and Wu proposed a delayed spruce budworm population model and studied the impact of physiological struct