Computational Modeling of Streptococcus Suis Dynamics via Stochastic Delay Differential Equations  

作　　者：Umar Shafique Ali Raza Dumitru Baleanu Khadija Nasir Muhammad Naveed Abu Bakar Siddique Emad Fadhal 

机构地区：[1]Department of Mathematics,National College of Business Administration and Economics,Lahore,54000,Pakistan [2]Center for Research in Mathematics and Applications(CIMA),Institute for Advanced Studies and Research(IIFA),University ofÉvora,Rua Romão Ramalho,59,Évora,7000-671,Portugal [3]Department of Computer Science and Mathematics,Lebanese American University,Beirut,1102-2081,Lebanon [4]Department of Zoology,University of Sialkot,Sialkot,51040,Pakistan [5]Department of Mathematics,Air University,Islamabad,44000,Pakistan [6]Department of Mathematics and Statistics,College of Science,King Faisal University,Al Ahsa,31982,Saudi Arabia [7]Department of Physical Sciences,The University of Chenab,Gujrat,50700,Pakistan

出　　处：《Computer Modeling in Engineering & Sciences》2025年第4期449-476,共28页工程与科学中的计算机建模(英文)

基　　金：supported by the Deanship of Scientific Research,Vice Presidency for Graduate Studies and Scientific Research,King Faisal University,Saudi Arabia[KFU250259].

摘　　要：Streptococcus suis(S.suis)is a major disease impacting pig farming globally.It can also be transferred to humans by eating raw pork.A comprehensive study was recently carried out to determine the indices throughmultiple geographic regions in China.Methods:The well-posed theorems were employed to conduct a thorough analysis of the model’s feasible features,including positivity,boundedness equilibria,reproduction number,and parameter sensitivity.Stochastic Euler,Runge Kutta,and EulerMaruyama are some of the numerical techniques used to replicate the behavior of the streptococcus suis infection in the pig population.However,the dynamic qualities of the suggested model cannot be restored using these techniques.Results:For the stochastic delay differential equations of the model,the non-standard finite difference approach in the sense of stochasticity is developed to avoid several problems such as negativity,unboundedness,inconsistency,and instability of the findings.Results from traditional stochastic methods either converge conditionally or diverge over time.The stochastic non-negative step size convergence nonstandard finite difference(NSFD)method unconditionally converges to the model’s true states.Conclusions:This study improves our understanding of the dynamics of streptococcus suis infection using versions of stochastic with delay approaches and opens up new avenues for the study of cognitive processes and neuronal analysis.Theplotted interaction behaviour and new solution comparison profiles.

关 键 词：Streptococcus suis disease model stochastic delay differential equations(SDDEs) existence and uniqueness Lyapunov function stability results reproduction number computational methods 

分 类 号：O175[理学—数学]