Optimal control strategies of a fractional order model for Zika virus infection involving various transmissions

2021 ◽  
Vol 146 ◽  
pp. 110864
Author(s):  
Hegagi Mohamed Ali ◽  
Ismail Gad Ameen
Keyword(s):  
Optimal Control ◽  
Virus Infection ◽  
Fractional Order ◽  
Zika Virus ◽  
Control Strategies ◽  
Order Model ◽  
Fractional Order Model ◽  
Zika Virus Infection

Optimal Campaign Strategies in Fractional-Order Smoking Dynamics

2014 ◽  
Vol 69 (5-6) ◽  
pp. 225-231 ◽  
Author(s):  
Anwar Zeb ◽  
Gul Zaman ◽  
Il Hyo Jung ◽  
Madad Khan
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Fractional Order ◽  
Necessary Conditions ◽  
Order Model ◽  
Campaign Strategies ◽  
Education Campaign ◽  
Fractional Order Model

This paper deals with the optimal control problem in the giving up smoking model of fractional order. For the eradication of smoking in a community, we introduce three control variables in the form of education campaign, anti-smoking gum, and anti-nicotive drugs/medicine in the proposed fractional order model. We discuss the necessary conditions for the optimality of a general fractional optimal control problem whose fractional derivative is described in the Caputo sense. In order to do this, we minimize the number of potential and occasional smokers and maximize the number of ex-smokers. We use Pontryagin’s maximum principle to characterize the optimal levels of the three controls. The resulting optimality system is solved numerically by MATLAB.

scholarly journals Numerical, Approximate Solutions, and Optimal Control on the Deathly Lassa Hemorrhagic Fever Disease in Pregnant Women

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
M. Higazy ◽  
A. El-Mesady ◽  
A. M. S. Mahdy ◽  
Sami Ullah ◽  
A. Al-Ghamdi
Keyword(s):  
Optimal Control ◽  
Pregnant Women ◽  
Fractional Order ◽  
Adomian Decomposition Method ◽  
Hemorrhagic Fever ◽  
Approximate Solutions ◽  
Order Model ◽  
Fractional Order Model ◽  
Adomian Decomposition ◽  
Negative Impacts

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has negative impacts that were initially appeared in Africa. In the present study, we find an approximate solution to the fractional-order model that describes the fatal LHF disease. Laplace transforms coupled with the Adomian decomposition method (ADM) are applied. In addition, the fractional-order LHF model is numerically simulated in terms of a varied fractional order. Furthermore, a fractional order optimal control for the LHF model is studied.

scholarly journals A Fractional-Order Model for Zika Virus Infection with Multiple Delays

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-20 ◽  
Author(s):  
R. Rakkiyappan ◽  
V. Preethi Latha ◽  
Fathalla A. Rihan
Keyword(s):  
Hopf Bifurcation ◽  
Virus Infection ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Zika Virus ◽  
Epidemic Model ◽  
Time Delays ◽  
Multiple Delays ◽  
Multiple Time ◽  
Zika Virus Infection

Time delays and fractional order play a vital role in biological systems with memory. In this paper, we propose an epidemic model for Zika virus infection using delay differential equations with fractional order. Multiple time delays are incorporated in the model to consider the latency of the infection in a vector and the latency of the infection in the infected host. We investigate the necessary and sufficient conditions for stability of the steady states and Hopf bifurcation with respect to three time delays τ1, τ2, and τ3. The model undergoes a Hopf bifurcation at the threshold parameters τ1∗, τ2∗, and τ3∗. Some numerical simulations are given to show the effectiveness of obtained results. The numerical simulations confirm that combination of fractional order and time delays in the epidemic model effectively enriches the dynamics and strengthens the stability condition of the model.

scholarly journals The Effect of Permethrin Resistance on Aedes aegypti Transcriptome Following Ingestion of Zika Virus Infected Blood

Viruses ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 470 ◽  
Author(s):  
Liming Zhao ◽  
Barry Alto ◽  
Dongyoung Shin ◽  
Fahong Yu
Keyword(s):  
Virus Infection ◽  
Aedes Aegypti ◽  
Zika Virus ◽  
Mosquito Control ◽  
Control Strategies ◽  
Detoxification Enzymes ◽  
Pcr Analysis ◽  
Zika Virus Infection ◽  
Induced Changes ◽  
Different Levels

Aedes aegypti (L.) is the primary vector of many emerging arboviruses. Insecticide resistance among mosquito populations is a consequence of the application of insecticides for mosquito control. We used RNA-sequencing to compare transcriptomes between permethrin resistant and susceptible strains of Florida Ae. aegypti in response to Zika virus infection. A total of 2459 transcripts were expressed at significantly different levels between resistant and susceptible Ae. aegypti. Gene ontology analysis placed these genes into seven categories of biological processes. The 863 transcripts were expressed at significantly different levels between the two mosquito strains (up/down regulated) more than 2-fold. Quantitative real-time PCR analysis was used to validate the Zika-infection response. Our results suggested a highly overexpressed P450, with AAEL014617 and AAEL006798 as potential candidates for the molecular mechanism of permethrin resistance in Ae. aegypti. Our findings indicated that most detoxification enzymes and immune system enzymes altered their gene expression between the two strains of Ae. aegypti in response to Zika virus infection. Understanding the interactions of arboviruses with resistant mosquito vectors at the molecular level allows for the possible development of new approaches in mitigating arbovirus transmission. This information sheds light on Zika-induced changes in insecticide resistant Ae. aegypti with implications for mosquito control strategies.

scholarly journals Optimal Control of a Cell-to-Cell Fractional-Order Model with Periodic Immune Response for HCV

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2121
Author(s):  
Xue Yang ◽  
Yongmei Su ◽  
Huijia Li ◽  
Xinjian Zhuo
Keyword(s):  
Optimal Control ◽  
Immune Response ◽  
Combination Therapy ◽  
Fractional Order ◽  
Control Strategies ◽  
Order Model ◽  
Reproduction Numbers ◽  
A Cell ◽  
The Relationship ◽  
Two Equilibria

In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in the relationship between the two equilibria and the basic reproduction numbers. We obtain the global stability of the infection-free equilibrium by using Lyapunov function and the local stability of the immune-exhausted equilibrium. The optimal control problem is also considered and two control strategies are given; one is for ITX5061 monotherapy, the other is for ITX5061 and DAAs combination therapy. Matlab numerical simulation shows that combination therapy has lower objective function value; therefore, it is worth trying to use combination therapy to treat HCV infection.

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