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[كتاب][B] Optimal control applied to biological models
S Lenhart, JT Workman - 2007 - taylorfrancis.com
From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …
professionals successfully use the powerful mathematical tool of optimal control to make …
Optimal control of the chemotherapy of HIV
Using an existing ordinary differential equation model which describes the interaction of the
immune system with the human immunodeficiency virus (HIV), we introduce chemotherapy …
immune system with the human immunodeficiency virus (HIV), we introduce chemotherapy …
Optimal control analysis of a malaria disease transmission model that includes treatment and vaccination with waning immunity
We derive and analyse a deterministic model for the transmission of malaria disease with
mass action form of infection. Firstly, we calculate the basic reproduction number, R0, and …
mass action form of infection. Firstly, we calculate the basic reproduction number, R0, and …
The economics of spatial-dynamic processes: applications to renewable resources
Spatial-dynamic processes in renewable resource economics pose difficult conceptual,
analytical, empirical, and institutional challenges that are distinct from either spatial or …
analytical, empirical, and institutional challenges that are distinct from either spatial or …
Optimal control and sensitivity analysis of an influenza model with treatment and vaccination
We formulate and analyze the dynamics of an influenza pandemic model with vaccination
and treatment using two preventive scenarios: increase and decrease in vaccine uptake …
and treatment using two preventive scenarios: increase and decrease in vaccine uptake …
Application of optimal control to the epidemiology of malaria
Malaria is a deadly disease transmitted to humans through the bite of infected female
mosquitoes. In this paper a deterministic system of differential equations is presented and …
mosquitoes. In this paper a deterministic system of differential equations is presented and …
Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control
This paper develops local stability analysis for deterministic optimal control theory for
recursive infinite horizon intertemporal optimization problems where there is a continuum of …
recursive infinite horizon intertemporal optimization problems where there is a continuum of …
The spatial dimension in environmental and resource economics
Mechanisms generating patterns in spatial domains have been extensively studied in
biology, but also in economics in the context of new economic geography. The Turing …
biology, but also in economics in the context of new economic geography. The Turing …
Optimal social distancing through cross-diffusion control for a disease outbreak PDE model
We consider a human population residing in a two-dimensional domain at the onset of an
ongoing disease outbreak. The population dynamics are governed by two coupled partial …
ongoing disease outbreak. The population dynamics are governed by two coupled partial …
Fellows address: Economics of spatial-dynamic processes
I am honored to have the opportunity to give the AAEA Fellows Address this year. I would
like to talk about a class of problems that are becoming more prevalent and yet have not re …
like to talk about a class of problems that are becoming more prevalent and yet have not re …