This paper deals with numerical solutions of nonlinear stiff stochastic differential equations with jump-diffusion and piecewise continuous arguments.By combining compensated split-step methods and balanced methods,a ...This paper deals with numerical solutions of nonlinear stiff stochastic differential equations with jump-diffusion and piecewise continuous arguments.By combining compensated split-step methods and balanced methods,a class of compensated split-step balanced(CSSB)methods are suggested for solving the equations.Based on the one-sided Lipschitz condition and local Lipschitz condition,a strong convergence criterion of CSSB methods is derived.It is proved under some suitable conditions that the numerical solutions produced by CSSB methods can preserve the mean-square exponential stability of the corresponding analytical solutions.Several numerical examples are presented to illustrate the obtained theoretical results and the effectiveness of CSSB methods.Moreover,in order to show the computational advantage of CSSB methods,we also give a numerical comparison with the adapted split-step backward Euler methods with or without compensation and tamed explicit methods.展开更多
Influenza A virus(IAV)genome comprises eight negative-sense RNA segments,of which the replication is well orchestrated and the delicate balance of multiple segments are dynamically regulated throughout IAV life cycle....Influenza A virus(IAV)genome comprises eight negative-sense RNA segments,of which the replication is well orchestrated and the delicate balance of multiple segments are dynamically regulated throughout IAV life cycle.However,previous studies seldom discuss these balances except for functional hemagglutinin-neuraminidase balance that is pivotal for both virus entry and release.Therefore,we attempt to revisit IAV life cycle by highlighting the critical role of“genome balance”.Moreover,we raise a“balance regression”model of IAV evolution that the virus evolves to rebalance its genome after reassortment or interspecies transmission,and direct a“balance compensation”strategy to rectify the“genome imbalance”as a result of artificial modifications during creation of recombinant IAVs.This review not only improves our understanding of IAV life cycle,but also facilitates both basic and applied research of IAV in future.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11971010)Scientific Research Project of Education Department of Hubei Province(Grant No.B2019184)。
文摘This paper deals with numerical solutions of nonlinear stiff stochastic differential equations with jump-diffusion and piecewise continuous arguments.By combining compensated split-step methods and balanced methods,a class of compensated split-step balanced(CSSB)methods are suggested for solving the equations.Based on the one-sided Lipschitz condition and local Lipschitz condition,a strong convergence criterion of CSSB methods is derived.It is proved under some suitable conditions that the numerical solutions produced by CSSB methods can preserve the mean-square exponential stability of the corresponding analytical solutions.Several numerical examples are presented to illustrate the obtained theoretical results and the effectiveness of CSSB methods.Moreover,in order to show the computational advantage of CSSB methods,we also give a numerical comparison with the adapted split-step backward Euler methods with or without compensation and tamed explicit methods.
基金supported by National Natural Science Foundation of China(No.82104134)Key Technology Research and Development Program of Shandong,China(No.2020CXGC010505)The Social Benefiting Technology Program of Qingdao,China(No.21-1-4-rkjk-15-nsh).
文摘Influenza A virus(IAV)genome comprises eight negative-sense RNA segments,of which the replication is well orchestrated and the delicate balance of multiple segments are dynamically regulated throughout IAV life cycle.However,previous studies seldom discuss these balances except for functional hemagglutinin-neuraminidase balance that is pivotal for both virus entry and release.Therefore,we attempt to revisit IAV life cycle by highlighting the critical role of“genome balance”.Moreover,we raise a“balance regression”model of IAV evolution that the virus evolves to rebalance its genome after reassortment or interspecies transmission,and direct a“balance compensation”strategy to rectify the“genome imbalance”as a result of artificial modifications during creation of recombinant IAVs.This review not only improves our understanding of IAV life cycle,but also facilitates both basic and applied research of IAV in future.
