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Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
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Articles 31 - 51 of 51
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Eco-Evolutionary Dynamics Of Microbial Communities, Lihong Zhao
Eco-Evolutionary Dynamics Of Microbial Communities, Lihong Zhao
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics, Bernardo Ameneyro
The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics, Bernardo Ameneyro
Biology and Medicine Through Mathematics Conference
No abstract provided.
Period Drift In A Neutrally Stable Stochastic Oscillator, Kevin Sanft
Period Drift In A Neutrally Stable Stochastic Oscillator, Kevin Sanft
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson
Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modelling Non-Linear Functional Responses In Competitive Biological Systems., Nickolas Goncharenko
Modelling Non-Linear Functional Responses In Competitive Biological Systems., Nickolas Goncharenko
Western Research Forum
One of the most versatile and well understood models in mathematical biology is the Competitive Lotka Volterra (CLV) model, which describes the behaviour of any number of exclusively competitive species (that is each species competes directly with every other species). Despite it's success in describing many phenomenon in biology, chemistry and physics the CLV model cannot describe any non-linear environmental effects (including resource limitation and immune response of a host due to infection). The reason for this is the theory monotone dynamical systems, which was codeveloped with the CLV model, does not apply when this non-linear effect is introduced. For …
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Disappearance Of The Neanderthals Using Concepts Of Population Dynamics And Ecology, Michael F. Roberts, Stephen E. Bricher
Modeling The Disappearance Of The Neanderthals Using Concepts Of Population Dynamics And Ecology, Michael F. Roberts, Stephen E. Bricher
Faculty Publications
Current hypotheses regarding the disappearance of Neanderthals (NEA) in Europe fall into two main categories: climate change, and competition. Here we review current research and existing mathematical models that deal with this question, and we propose an approach that incorporates and permits the investigation of the current hypotheses. We have developed a set of differential equations that model population dynamics of anatomically modern humans (AMH) and NEA, their ecological relations to prey species, and their mutual interactions. The model allows investigators to explore each of the two main categories or combinations of both, as well as various forms of competition …
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy
General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine
Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Can Culling Barred Owls Save A Declining Northern Spotted Owl Population?, Alex Capaldi
Can Culling Barred Owls Save A Declining Northern Spotted Owl Population?, Alex Capaldi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Two Pathogens In A Single Tick Population, Alexis White
Dynamics Of Two Pathogens In A Single Tick Population, Alexis White
Biology and Medicine Through Mathematics Conference
No abstract provided.
Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi
Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor
Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor
Biology and Medicine Through Mathematics Conference
No abstract provided.
Epistasis In Predator-Prey Relationships, Iuliia Inozemtseva
Epistasis In Predator-Prey Relationships, Iuliia Inozemtseva
College of Graduate Studies: Theses & Dissertations
Epistasis is the interaction between two or more genes to control a single phenotype. We model epistasis of the prey in a two-locus two-allele problem in a basic predator- prey relationship. The resulting model allows us to examine both population sizes as well as genotypic and phenotypic frequencies. In the context of several numerical examples, we show that if epistasis results in an undesirable or desirable phenotype in the prey by making the particular genotype more or less susceptible to the predator or dangerous to the predator, elimination of undesirable phenotypes and then genotypes occurs.
Generalist And Specialist Pollination Syndromes: When Are They Favoured? A Theoretical Approach To Predict The Conditions Under Which A Generalist Or Specialist Pollination Syndrome Is Favoured., Tyler L. Poppenwimer
Generalist And Specialist Pollination Syndromes: When Are They Favoured? A Theoretical Approach To Predict The Conditions Under Which A Generalist Or Specialist Pollination Syndrome Is Favoured., Tyler L. Poppenwimer
Senior Independent Study Theses
No abstract provided.
Analytic And Numerical Studies Of A Simple Model Of Attractive-Repulsive Swarms, Andrew S. Ronan
Analytic And Numerical Studies Of A Simple Model Of Attractive-Repulsive Swarms, Andrew S. Ronan
HMC Senior Theses
We study the equilibrium solutions of an integrodifferential equation used to model one-dimensional biological swarms. We assume that the motion of the swarm is governed by pairwise interactions, or a convolution in the continuous setting, and derive a continuous model from conservation laws. The steady-state solution found for the model is compactly supported and is shown to be an attractive equilibrium solution via linear perturbation theory. Numerical simulations support that the steady-state solution is attractive for all initial swarm distributions. Some initial results for the model in higher dimensions are also presented.
An Age-Structured Resource-Consumer Dynamical Model, Jean M. Tchuenche
An Age-Structured Resource-Consumer Dynamical Model, Jean M. Tchuenche
Applications and Applied Mathematics: An International Journal (AAM)
Many dynamical systems in population biology in which agents compete for resources may exhibit chaotic fluctuations. This short letter develops Gamarra and Solé's previous work. We briefly review a classical model of population with complex dynamics, and proceed to study the dynamics of an age-structured resource-consumer model, in which the fertility coefficients are density independent. Implicit or first integral solutions of the model are obtained, and conditions for which they are stable given. It is observed that resource availability at any time depends on the number of potential consumers present.