9 Result(s)
within
Lourdes Esteva
Mathematics
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Article
An optimal control problem applied to plasmid-mediated antibiotic resistance
We formulate a system of ordinary differential equations to model the contribution of antibiotic treatment and immune system to combat bacterial infections. We obtained threshold conditions that determine when...
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Article
Modeling the Relationship Between Antibody-Dependent Enhancement and Disease Severity in Secondary Dengue Infection
Sequential infections with different dengue serotypes (DENV-1, 4) significantly increase the risk of a severe disease outcome (fever, shock, and hemorrhagic disorders). Two hypotheses have been proposed to exp...
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Article
Vaccination Strategies for SIR Vector-Transmitted Diseases
Vector-borne diseases are one of the major public health problems in the world with the fastest spreading rate. Control measures have been focused on vector control, with poor results in most cases. Vaccines s...
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Article
Landscape Diversity Influences Dispersal and Establishment of Pest with Complex Nutritional Ecology
We studied the effects of landscape structure on species with resource nutritional partition between the immature and adult stages by investigating how food quality and spatial structure of a landscape may aff...
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Article
Seasonality and Outbreaks in West Nile Virus Infection
In this paper we analyze the impact of seasonal variations on the dynamics of West Nile Virus infection. We are interested in the generation of new epidemic peaks starting from an endemic state. In many cases,...
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Article
Modelling parasitism and predation of mosquitoes by water mites
Parasitism and predation are two ecological interactions that can occur simultaneously between two species. This is the case of Culicidae (Insecta: Diptera) and water mites (Acari: Hydrachnidia). The larva mit...
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Article
Modelling the dynamics of West Nile Virus
In this work we formulate and analyze a mathematical model for the transmission of West Nile Virus (WNV) infection between vector (mosquito) and avian population. We find the Basic Reproductive Number ...
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Article
Coexistence of different serotypes of dengue virus
We formulate a non–linear system of differential equations that models the dynamics of dengue fever. This disease is produced by any of the four serotypes of dengue arbovirus. Each serotype produces permanent...
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Article
A model for dengue disease with variable human population
A model for the transmission of dengue fever with variable human population size is analyzed. We find three threshold parameters which govern the existence of the endemic proportion equilibrium, the increase ...
