TY - JOUR AU - Alfifi, H. Y. PY - 2019 TI - Semi-analytical solutions for the delayed and diffusive viral infection model with logistic growth JO - Journal of Nonlinear Sciences and Applications SP - 589--601 VL - 12 IS - 9 AB - In the one-dimensional reaction-diffusion domain of this study, semi-analytical solutions are used for a delayed viral infection system with logistic growth. Through an ordinary differential equations system, the Galerkin technique is believed to estimate the prevailing partial differential equations. In addition, Hopf bifurcation maps are constructed. The effect of diffusion coefficient stricture and delay on the model is comprehensively investigated, and the outcomes demonstrate that diffusion and delay can stabilize or destabilize the system. We found that, as the delay parameter values rise, the values of the Hopf bifurcations for growth and the rates of viral death are augmented, whereas the rate of production is decreased. For the growth, production, and death rates strictures, there is determination of an asymptotically unstable region and a stable region. Illustrations of the unstable and stable limit cycles, as well as the Hopf bifurcation points, are found to prove the formerly revealed outcomes in the Hopf bifurcation map. The results of the semi-analytical solutions and numerical assessments revealed that the semi-analytical solutions are highly effective. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.09.04 DO - 10.22436/jnsa.012.09.04 ID - Alfifi2019 ER - TY - JOUR TI - Semi-analytical solutions for the delayed diffusive food-limited model AU - H. Y. Alfifi JO - 7th International Conference on Modeling, Simulation, and Applied Optimization ICMSAO (Sharjah, U. A. E.) PY - 2017 DA - 2017// VL - 2017 ID - Alfifi2017 ER - TY - JOUR TI - Semi-analytical solutions for the Brusselator reaction-diffusion model AU - H. Y. Alfifi JO - ANZIAM J. 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