SelectedWorks - Evan Haskell

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Selected Works of Evan Haskell

Professor, Department of Mathematics

My research is in analysis, modeling, simulation, and model analysis for complex systems with a focus on those arising from natural, engineered, and social systems.

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About Evan Haskell

My research is in analysis, modeling, simulation, and model analysis for complex systems with a focus on those arising from natural, engineered, and social systems.

Articles (20)

Journal articles written or co-written by Dr. Evan Haskell

A model of the burglar alarm hypothesis of prey alarm calls (Evan C Haskell and Jonathan Bell) Theoretical Population Biology (2021)

When approached by a predator many prey species will emit an “alarm call” as a form of anti-predator behavior. One hypothesis for the function of alarm calls is the “burglar alarm” hypothesis whereby upon attack, ...

Attraction–repulsion taxis mechanisms in a predator–prey model (Jonathan Bell and Evan Haskell) Partial Differential Equations and Applications (2021)

We consider a predator–prey model where the predator population favors the prey through biased diffusion toward the prey density, while the prey population employs a chemical repulsive mechanism. This leads to a quasilinear parabolic system. ...

Bifurcation Analysis for a One Predator and Two Prey Model with Prey-Taxis (Evan Haskell and Jonathan Bell) Journal of Biological Systems (2021)

This paper concerns spatio-temporal pattern formation in a model for two competing prey populations with a common predator population whose movement is biased by direct prey-taxis mechanisms. By pattern formation, we mean the existence of ...

Pattern formation in a predator-mediated coexistence model with prey-taxis (Evan Haskell and Jonathan Bell) Discrete and Continuous Dynamical Systems - B (2020)

Can foraging by predators or a repulsive prey defense mechanism upset predator-mediated coexistence? This paper investigates one scenario involving a prey-taxis by a prey species. We study a system of three populations involving two competing ...

The Logistic Growth Model as an Approximating Model for Viral Load Measurements of Influenza A Virus (Abbiana Arenas, Neil B. Thackar and Evan Haskell) Mathematics and Computers in Simulation (2017)

Detailed kinetic models of viral replication have led to greater understanding of disease progression and the effects of therapy. Viral load is important as a driver of the immune response to the viral infection and ...

Spectral Properties of a Sequence of Matrices Connected to Each Other via Schur Complement and Arising in a Compartmental Model (Evan Haskell and Vehbi Emrah Paksoy) Special Matrices (2017)

We consider a sequence of real matrices An which is characterized by the rule that An−1 is the Schur complement in An of the (1,1) entry of An, namely −en, where en is a positive ...

Circumvention of Learning Increases Intoxication Efficacy of Nematicidal Engineered Bacteria (Olena R. Bracho, Cyril Mancherry, Evan Haskell, et al.) ACS Synthetic Biology (2015)

Synthetic biology holds promise to engineer systems to treat diseases. One critical, yet underexplored, facet of designing such systems is the interplay between the system and the pathogen. Understanding this interplay may be critical to ...

A repeated challenge humoral immune response model (Abbiana R Arenas, Samita Andreansky and Evan C Haskell) Proceedings of the Sixth Symposium on B.E.E.R. (2015)

Influenza vaccination is the best method of control for seasonal influenza outbreak. Vaccination depends on the host’s humoral immunity to clear virus infections. However the dynamics of humoral immunity on controlling the virus titers have ...

Connecting mathematics and biology in the classroom: exploring the hero's journey through ecological relationships (Robert P. Smith and Evan C Haskell) Proceedings of the Sixth Symposium on B.E.E.R. (2015)

The combined use of mathematics and biology in research is currently addressing some of themost important questions in medicine, engineering and ecology. However, there exists a fun-damental gap in biology and mathematics education at the ...

Modeling and Simulation of Caenorhabditis Elegans Chemotaxis in Response to a Dynamic Engineered Bacteria (Divya A Pandya, Christopher Blanar, Robert P. Smith, et al.) Proceedings 29th European Conference on Modelling and Simulation (2015)

Parasitic helminthes remain important causative agents of human, plant and animal diseases. Helminthes seek out food sources and navigate toward potential hosts using olfaction of simple chemical cues in a process called chemoattraction. While several ...

Modeling of Humoral Immune Response to Repeated Influenza A Virus Infections (Abbiana Arenas, Safiyah Muhammad, Ly Nguyen, et al.) Biomath Communications (2015)

Seasonal infections by Influenza A virus (IAV) causes hundreds of thousands of deaths worldwide each year, with most individuals being infected multiple times throughout their lifetimes. The relative impact of the components of the host ...

A Social Interaction Model For Crime Hot Spots (Evan C Haskell) Proceedings 28th European Conference on Modelling and Simulation (2014)

A common feature of mapped crime patterns is a strong spatial and temporal clustering into crime “hot spots”. In this paper we explore a social interaction model for the evolution of the attractiveness of the ...

On Spatio-Temporal Patterns in Two-Layer Ring Topology Neural Fields (Fayssa Salomon and Evan C Haskell) Proceedings 27th European Conference on Modelling and Simulation (2013)

Spatially coherent structures and propagating waves of neural activity are commonly found throughout the central nervous system. These activity profiles are represented in both natural and pathological phenomena. We explore a two-layer neural field model ...

Co-Adventurers in Discovery: Collaborative Research Between Undergraduate Students and Faculty (Rajeswari Murugan and Evan Haskell) Quadrivium: A Journal of Multidisciplinary Scholarship (2012)

There are many opportunities available beyond the classroom for undergraduate students to engage in cutting-edge scholarship. Some of the opportunities include study abroad, internships, and independent study. We strongly suggest that students experience such programs. ...

Mathematical Model to Predict the Effects of Pregnancy on Antibody Response During Viral Infection (Adam Abdulhafid, Samita Andreansky and Evan C Haskell) Computational and Mathematical Methods in Science and Engineering (CMMSE 2012) (2012)

The adaptive immune system has a humoral response where memory B cells are formed for the rapid deployment of antibody to clear the virus from the host system. We develop a model for primary and ...

Travelling Wave Solutions for Ring Topology Neural Fields (Fayssa Salomon and Evan C Haskell) Computational and Mathematical Methods in Science and Engineering (CMMSE 2012) (2012)

Propagating waves are ubiquitous in the central nervous system and are represented in both natural and pathological neurobiological phenomena. In this study we find travelling wave solutions for a neural field model dually constrained by ...

Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology (Evan C Haskell and Vehbi Paksoy) Nonlinear and Complex Dynamics: Applications in Physical, Biological, and Financial Systems (2011)

Spatially localized activity profiles have long been proposed as a mechanism for feature selectivity in models of cortex. Cortical neurons show selectivity to many features of the stimulus space. Recent experimental evidence shows strong correlations ...

On the Formation of Persistent States in Neuronal Network Models of Feature Selectivity (Evan Haskell and Paul C. Bressloff) Journal of Integrative Neuroscience (2003)

We study the existence and stability of localized activity states in neuronal network models of feature selectivity with either a ring or spherical topology. We find that the neural field has mono-stable, bi-stable, and tri-stable ...

Population Density Methods for Large-Scale Modeling of Neuronal Networks with Realistic Synaptic Kinetics (Evan Haskell, D. Q. Nykamp and D. Tranchina) Neurocomputing (2001)

Population density methods provide promising time-saving alternatives to direct Monte Carlo simulations of neuronal network activity, in which one tracks the state of thousands of individual neurons and synapses. A population density method has been ...

Population Density Methods for Large-Scale Modelling of Neuronal Networks with Realistic Synaptic Kinetics: Cutting the Dimension Down to Size (Evan Haskell, D. Q. Nykamp and D. Tranchina) Network: Computation in Neural Systems (2001)

Population density methods provide promising time-saving alternatives to direct Monte Carlo simulations of neuronal network activity, in which one tracks the state of thousands of individual neurons and synapses. A population density method has been ...

Conference presentations, proceedings, lectures, and symposia given by Dr. Evan Haskell

Attraction-Repulsion Taxis Mechanisms in a Predator-Prey Model (Evan Haskell and Jonathan Bell) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2020)

Nonconstant Positive Steady States and Pattern Formation of a Two Competing Species with Common Predator Model Incorporating Prey-Taxis (Evan Haskell and Jonathan Bell) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2019)

Central questions in ecology seek explanation for distribution, abundance, and co-existence of species. It is well known that a competitive exclusion can occur between species competing for a resource where one species may drive another ...

Predator-Mediated Coexistence with Attractive or Repulsive Prey-Taxis (Evan Haskell and Jonathan Bell) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2018)

The interactions of species can have significant impact on species distribution and diversity. For example, resource competition between two species can lead to a competitive exclusion where one species is driven to extinction. However, it ...

Predator-Mediated Coexistence with Chemorepulsive Defense Mechanism (Evan Haskell) Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2018)

A model for a parameter related to free virus production from infected target cells (Evan C Haskell) Biology and Medicine Through Mathematics Conference (2017)