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Journal of Biological Dynamics Volume 1, 2007 - Issue 4: American Mathematical Society Meeting, New Orleans, January 2007
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Original Articles

Optimal control applied to native–invasive population dynamics

Daniel L. Kern Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada, 89154, USACorrespondence[email protected]
,
Suzanne Lenhart Department of Mathematics, University of Tennessee, Knoxville, TN, 37996, USA
,
Rachael Miller Department of Mathematics, University of Tennessee, Knoxville, TN, 37996, USA
&
Jiongmin Yong Department of Mathematics, University of Central Florida, 4000 Central Florida Blvd., Orlando, FL, 32816, USA
Pages 413-426 | Received 02 Apr 2007, Published online: 12 Nov 2007

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Sophia R.-J. Jang & Jui-Ling Yu. (2012) Discrete-time host–parasitoid models with pest control. Journal of Biological Dynamics 6:2, pages 718-739.
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Articles from other publishers (22)

Stephen Edward & Godfrey Edward Mpogolo. (2023) Modeling and optimal control of the transmission dynamics of amebiasis. Results in Control and Optimization 13, pages 100325.
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Abadi Abay Gebremeskel, Hailay Weldegiorgis Berhe & Adugna Temesgen Abay. (2022) A Mathematical Modelling and Analysis of COVID-19 Transmission Dynamics with Optimal Control Strategy. Computational and Mathematical Methods in Medicine 2022, pages 1-15.
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A. MHLANGA, T. V. MUPEDZA & T. M. MAZIKANA. (2022) OPTIMAL CONTROL AND COST-EFFECTIVE ANALYSIS OF A SCABIES MODEL WITH DIRECT AND INDIRECT TRANSMISSIONS. Journal of Biological Systems 30:02, pages 261-283.
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Hailay Weldegiorgis Berhe. (2020) Optimal Control Strategies and Cost-effectiveness Analysis Applied to Real Data of Cholera Outbreak in Ethiopia’s Oromia Region. Chaos, Solitons & Fractals 138, pages 109933.
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Stephen Edward, Nyimvua Shaban & Eunice Mureithi. (2020) Optimal Control of Shigellosis with Cost-Effective Strategies. Computational and Mathematical Methods in Medicine 2020, pages 1-15.
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Buddhi Pantha, Folashade B. Agusto & Ibrahim M. Elmojtaba. (2020) Optimal control applied to a visceral leishmaniasis model. Electronic Journal of Differential Equations 2020:01-132, pages 80.
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Hailay Weldegiorgis Berhe & Oluwole Daniel Makinde. (2020) Computational modelling and optimal control of measles epidemic in human population. Biosystems 190, pages 104102.
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Hailay Weldegiorgis Berhe, Oluwole Daniel Makinde & David Mwangi Theuri. (2019) Co-dynamics of measles and dysentery diarrhea diseases with optimal control and cost-effectiveness analysis. Applied Mathematics and Computation 347, pages 903-921.
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Liuyong Pang, Sanhong Liu, Xinan Zhang & Tianhai Tian. (2019) The Cost-Effectiveness Analysis and Optimal Strategy of the Tobacco Control. Computational and Mathematical Methods in Medicine 2019, pages 1-15.
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F.B. Agusto & M.C.A. Leite. (2019) Optimal control and cost-effective analysis of the 2017 meningitis outbreak in Nigeria. Infectious Disease Modelling 4, pages 161-187.
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Christopher M. Baker, Paul R. Armsworth & Suzanne M. Lenhart. (2017) Handling overheads: optimal multi-method invasive species control. Theoretical Ecology 10:4, pages 493-501.
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MICHAEL R. KELLYJr.Jr. & XUEYING WANG. (2017) THE OPTIMAL IMPLEMENTATION OF THE TROJAN Y CHROMOSOME ERADICATION STRATEGY OF AN INVASIVE SPECIES . Journal of Biological Systems 25:03, pages 399-418.
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Folashade B. Agusto & Ibrahim M. ELmojtaba. (2017) Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection. PLOS ONE 12:2, pages e0171102.
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Folashade B. Agusto. (2017) Optimal control and cost-effectiveness analysis of a three age-structured transmission dynamics of chikungunya virus. Discrete & Continuous Dynamical Systems - B 22:3, pages 687-715.
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Liuyong Pang, Zhong Zhao & Xinyu Song. (2016) Cost-effectiveness analysis of optimal strategy for tumor treatment. Chaos, Solitons & Fractals 87, pages 293-301.
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Christopher M. Baker & Michael Bode. (2016) Placing invasive species management in a spatiotemporal context. Ecological Applications 26:3, pages 712-725.
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F.B. Agusto. (2016) Optimal control of methicillin-resistant Staphylococcus aureus transmission in hospital settings. Applied Mathematical Modelling 40:7-8, pages 4822-4843.
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F.B. Agusto. (2013) Optimal isolation control strategies and cost-effectiveness analysis of a two-strain avian influenza model. Biosystems 113:3, pages 155-164.
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Suzanne Lenhart, Erin Bodine, Peng Zhong & Hem Raj Joshi. 2013. Advances in Applied Mathematics, Modeling, and Computational Science. Advances in Applied Mathematics, Modeling, and Computational Science 209 238 .
J. M. Tchuenche, S. A. Khamis, F. B. Agusto & S. C. Mpeshe. (2010) Optimal Control and Sensitivity Analysis of an Influenza Model with Treatment and Vaccination. Acta Biotheoretica 59:1, pages 1-28.
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F. B. AGUSTO & K. O. OKOSUN. (2011) OPTIMAL SEASONAL BIOCONTROL FOR EICHHORNIA CRASSIPES . International Journal of Biomathematics 03:03, pages 383-397.
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F. B. AGUSTO & O. R. OGUNYE. (2011) AVIAN INFLUENZA OPTIMAL SEASONAL VACCINATION STRATEGY. The ANZIAM Journal 51:4, pages 394-405.
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