Yazar "Ali, Nigar" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • [ X ]
    Öğe
    A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method
    (Mdpi, 2022) Ul Haq, Ihtisham; Yavuz, Mehmet; Ali, Nigar; Akgul, Ali
    This article develops a within-host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator. We prove the results of the solution's existence and uniqueness by using the Banach mapping contraction principle. Using the next-generation matrix method, we obtain the basic reproduction number. We analyze the model's endemic and disease-free equilibrium points for local and global stability. Furthermore, we find approximate solutions for the non-linear fractional model using the Modified Euler Method (MEM). To support analytical findings, numerical simulations are carried out.
  • [ X ]
    Öğe
    Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis
    (Taylor & Francis Ltd, 2024) Ul Haq, Ihtisham; Ali, Nigar; Bariq, Abdul; Akgul, Ali; Baleanu, Dumitru; Bayram, Mustafa
    The novel coronavirus SARS-Cov-2 is a pandemic condition and poses a massive menace to health. The governments of different countries and their various prohibitory steps to restrict the virus's expanse have changed individuals' communication processes. Due to physical and financial factors, the population's density is more likely to interact and spread the virus. We establish a mathematical model to present the spread of the COVID-19 in worldwide. In this article, we propose a novel mathematical model (' $ \mathbb {S}\mathbb {L}\mathbb {I}\mathbb {I}_{q}\mathbb {I}_{h}\mathbb {R}\mathbb {P} $ SLIIqIhRP') to assess the impact of using hospitalization, quarantine measures, and pathogen quantity in controlling the COVID-19 pandemic. We analyse the boundedness of the model's solution by employing the Laplace transform approach to solve the fractional Gronwall's inequality. To ensure the uniqueness and existence of the solution, we rely on the Picard-Lindelof theorem. The model's basic reproduction number, a crucial indicator of epidemic potential, is determined based on the greatest eigenvalue of the next-generation matrix. We then employ stability theory of fractional differential equations to qualitatively examine the model. Our findings reveal that both locally and globally, the endemic equilibrium and disease-free solutions demonstrate symptomatic stability. These results shed light on the effectiveness of the proposed interventions in managing and containing the COVID-19 outbreak.