Population Dynamics Modeling of Arapaima gigas

Pirarucu (Arapaima gigas) has been of the most important natural fishing resources of the Amazon region. Due to its economic importance, and the necessity to preserve the species hand, field research concerning the habits and behavior of the pirarucu has been increasing for the last 20 years. The aim of this paper is to present a mathematical model for the pirarucu population dynamics considering the species peculiarities, particularly the male parental care over the offspring. The solution of the dynamical systems indicates three possible equilibrium points for the population. The first corresponds to extinction; the third corresponds to a stable population close to the environmental carrying capacity. The second corresponds to an unstable equilibrium located between extinction and full use of the carrying capacity. It is shown that lack of males’ parental care closes the gap between the point corresponding to the unstable equilibrium and the point of stable non-trivial equilibrium. If guarding failure reaches a critical point the two points coincide and the population tends irreversibly to extinction. If some event tends to destabilize the population equilibrium, as for instance inadequate parental care, the model responds in such a way as to restore the trajectory towards the stable equilibrium point avoiding the route to extinction. The parameters introduced to solve the system of equations are partially derived from limited but reliable field data collected at the Mamirauá Sustainable Development Reserve (MSDR) in the Brazilian Amazonian Region.

Mathematical description of bacterial traveling pulses

The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on E. coli have shown precise structure of traveling pulses. We present here an alternative mathematical description of traveling pulses at a macroscopic scale. This modeling task is complemented with numerical simulations in accordance with the experimental observations. Our model is derived from an accurate kinetic description of the mesoscopic run-and-tumble process performed by bacteria. This model can account for recent experimental observations with E. coli. Qualitative agreements include the asymmetry of the pulse and transition in the collective behaviour (clustered motion versus dispersion). In addition we can capture quantitatively the main characteristics of the pulse such as the speed and the relative size of tails. This work opens several experimental and theoretical perspectives. Coefficients at the macroscopic level are derived from considerations at the cellular scale. For instance the stiffness of the signal integration process turns out to have a strong effect on collective motion. Furthermore the bottom-up scaling allows to perform preliminary mathematical analysis and write efficient numerical schemes. This model is intended as a predictive tool for the investigation of bacterial collective motion.

Microgeographical patterns of schistosomiasis and water contact behavior; examples from Africa and Brazil

This paper examines the results of spatial (microgeographical) water contact/schistosomiasis studies in two African (Egyptian and Kenyan) and one Brazilian communities. All three studies used traditional cartographic and statistical methods but one of them emploeyd also GIS (geographical information systems) tools. The advantage of GIS and their potential role in schistosomiasis control are briefly described. The three cases revealed considerable variation in the spatial distribution of water contact, transmission parameters and infection levels at the household and individual levels. All studies showed considerable variation in the prevalence and intensity of infection between households. They also show a variable influence of distance on water contact behavior associated with type of activity, age, sex, socioeconomic level, perception of water quality, season and availability of water in the home. Water contact behavior and schistosomiasis were evaluated in the Brazilian village of Nova União within the context of water sharing between household and age/sex groups. Recommendations are made for further spatial studies on the transmission and control of schistosomiasis.

Modeling of hybrid systems by piecewise decomposition

Piecewise linear models systems arise as mathematical models of systems in many practical applications, often from linearization for nonlinear systems. There are two main approaches of dealing with these systems according to their continuous or discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phase portrait in different regions where each subregion is modeled as a two-dimensional linear time invariant system. Then the Takagi-Sugeno model, which is a combination of local model is calculated. The simulation results show that the Alpha partition is well-suited for dealing with such a system

Tillage Manure Managemen and Water Quality, April 2005

Tillage and manure application practices significantly impact surface and ground water quality in Iowa and other Midwestern states. Tillage and manure application that incorporates residue and disturbs soil result in higher levels of soil erosion and surface runoff. Phosphorus and sediment loading are closely linked to the increase in soil erosion and surface water runoff. Manure application (i.e., injection or incorporation) reduces surface residue cover, which can worsen soil erosion regardless of the tillage management system being used. An integrated system approach to manure and tillage management is critical to ensure effi cient nutrient use and improvement of soil and water quality. This approach, however, requires changes in manure application technology and tillage system management to ensure the success of an integrated

Muchakinock Creek: Improving Water Quality for the Future, 2005

History has taken its toll on Muchakinock Creek. A number of problems over the years have led to the stream’s current state, one that’s landed it on Iowa’s list of impaired waters. However, the stream is also full of opportunity. The opportunity to improve water quality not only for the aquatic life and wildlife that live there, but also to pass along clean water to future generations of Iowans. But to act on this opportunity, we need your help.

Emerging Water Quality Issues, March 2001

Report produced by Iowa Department of Natural Resources about water quality issues.

Managing Iowa's Water Quality Information

A report by the Iowa Department of Natural Resources on how to manage water quality information.

Water Quality Summary, 2001

Part of Iowa's Water Ambient monitoring Program, produced by the Iowa Department of Natural Resources.

Water Quality Summary, 2002

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Water Quality Summary 2000-2002

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Accessing Iowa's Water Quality Information, 2003

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Water Quality Summary, 2003

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Water Quality Summary, 2000

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.