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Views
Date
Relevance
Potential Scenario
148
views
39
downloads
0
comments
2007-Hui_Luo-Population Modeling by Differential Equations
A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.
population dynamics
extinction
logistic
Tibetan antelope
Potential Scenario
183
views
68
downloads
0
comments
2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.
extinction
Coevolution
predator
Lotka Volterra equations
pre
Modeling Scenario
255
views
113
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
Modeling Scenario
237
views
358
downloads
0
comments
3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
species interactions
predator-prey
competition
Lotka-Volterra
sensitivity analysis
dynamics
population
Potential Scenario
127
views
48
downloads
0
comments
2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.
predator-prey
host-parasite
bifurcation
age structre
maturation delay
Potential Scenario
191
views
56
downloads
0
comments
2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
simulation
predator-prey
Lotka-Volterra
population
Canadian Lynx
Snowshoe Hare
critical values
Potential Scenario
210
views
49
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Potential Scenario
126
views
52
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Potential Scenario
105
views
52
downloads
0
comments
2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models of epidemics may be applied to the transmission of...
age structure
rumors
persistence
Urban Legends
Potential Scenario
137
views
70
downloads
0
comments
2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
carrying capacity
harvest
Easter Island
invasie especies
rats
Roughgarden theorem.
Potential Scenario
140
views
62
downloads
0
comments
1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
prediction
forest fire
fire management
fire spread
fuel
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