The SIAM Journal on Applied Mathematics is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods. The SIAM Journal on Applied Mathematics is the founding journal of the Society for Industrial and Applied Mathematics. The first volume of the journal appeared in 1953 and the foundations and evolution of applied mathematics can be found within its pages.

#### When vaccines are imperfect: What math can tell us about their effects on disease propagation

The control of certain childhood diseases is difficult, despite high vaccination coverage in many countries. One of the possible reasons for this is "imperfect vaccines," that is, vaccines that fail either due to "leakiness," ...

#### Insightful mathematics for an optimal run: Mathematical equations can help improve athletic performance

Sure, we can become better runners by hydrating well, eating right, cross training, and practice. But getting to an optimal running strategy with equations? That's exactly what a pair of mathematicians from France propose ...

#### A mathematical perspective of seasonal variations in Lyme disease transmission

Lyme disease is a common tick-borne illness caused by a bacterium, which is transmitted to humans through the bite of infected ticks. The transmission dynamics of Lyme disease is dependent on a variety of ...

#### Math models enhance current therapies for coronary heart disease

Coronary heart disease accounts for 18% of deaths in the United States every year. The disease results from a blockage of one or more arteries that supply blood to the heart muscle. This occurs as a result ...

#### Are you ready to retire? Mathematical models estimate the value of pension plans

There comes a time in each of our lives when we consider starting a pension plan –either on the advice of a friend, a relative, or of our own volition. The plan of choice may depend on various factors, ...

#### Tracking criminal movement using math: Will the next strike be near or far away?

One way to study criminal behavior and predict a criminal's next move is by analyzing his or her movement. Several mathematical models have addressed this in detail, in particular, the UCLA "burglary hotspot" ...

#### Using math models to make predictions: How vegetation competes for rainfall in dry regions

The greater the plant density in a given area, the greater the amount of rainwater that seeps into the ground. This is due to a higher presence of dense roots and organic matter in the soil. Since water is ...

#### Surges in latent infections: Mathematical analysis of viral blips

Recurrent infection is a common feature of persistent viral diseases. It includes episodes of high viral production interspersed by periods of relative quiescence. These quiescent or silent stages are hard ...

#### Mathematical models to better combat HIV

The first few hours to days following exposure to human immunodeficiency virus (HIV) can be of critical importance in determining if infection occurs in a patient. But the low numbers of viruses and infected cells at this ...

#### Pancakes with a side of math: A physiological model for sap exudation in maple trees

For many of us, maple syrup is an essential part of breakfast—a staple accompaniment to pancakes and waffles—but rarely do we think about the complicated and little-understood physiological aspects of syrup production. ...

#### Math helps detect gang-related crime and better allocate police resources

(Phys.org)—Social groups in a population can lend important cues to law enforcement officials, consumer-based services and risk assessors. Social and geographical patterns that provide information about ...

#### Math detects contamination in water distribution networks

None of us want to experience events like the Camelford water pollution incident in Cornwall, England, in the late eighties, or more recently, the Crestwood, Illinois, water contamination episode in 2009 where accidental ...

#### Persistence or extinction: Through a mathematical lens

Scientists have estimated that there are 1.7 million species of animals, plants and algae on earth, and new species continue to be discovered. Unfortunately, as new species are found, many are also disappearing, contributing ...

#### Toward an artificial pancreas: Math modeling and diabetes control

October 4, 2012—Diabetes mellitus is a chronic disease in which individuals exhibit high levels of sugar in the blood, either due to insufficient production of insulin—the hormone that allows glucose to be absorbed by ...

#### Study proposes a mathematical model to study malaria transmission

Malaria affects over 200 million individuals every year and kills hundreds of thousands of people worldwide. The disease varies greatly from region to region in the species that cause it and in the carriers that spread it. ...