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Downloads
Views
Date
Relevance
Potential Scenario
114
views
31
downloads
0
comments
2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.
Mosquito borne diseases
populations
Holling-II-type mating rates
transgenic mosquitoes
nonhyperbolic equilibrium
mosquitoes
Potential Scenario
185
views
55
downloads
0
comments
2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values.
sustainability
fish
Fishing
management
harvest
fisher
strategy
overfishing
Potential Scenario
146
views
59
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
251
views
40
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Potential Scenario
147
views
87
downloads
0
comments
2015-Doust-Saraj-The logistic modeling population having harvesting factor
The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.
logistic
harvest
harvesting factor
Potential Scenario
118
views
51
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Potential Scenario
159
views
114
downloads
0
comments
2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and another reserve zone where fishing is strictly...
natural resources
marine resources
fishery model
Potential Scenario
184
views
80
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Free Online Textbook
166
views
58
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
154
views
48
downloads
0
comments
2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.
social networks
rumor
propogation
Potential Scenario
198
views
49
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Potential Scenario
162
views
72
downloads
0
comments
2017-Guy-Bart_Stan-Modelling in Biology
This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
spring mass
bifurcation
mass action
limit cycles
Potential Scenario
185
views
78
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Potential Scenario
129
views
49
downloads
0
comments
2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
epidemic
compartment
political parties
Potential Scenario
135
views
40
downloads
0
comments
2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with DelayÂ
Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
virus
T cells
Hopf bifurcation
endemic equilibrium
Potential Scenario
194
views
63
downloads
0
comments
2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.
survival
predator-prey
harvest
refuge
Pontryagin’s maximal principle
hiding
optimal harvest
Potential Scenario
280
views
83
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Potential Scenario
163
views
60
downloads
0
comments
2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.
environment
system
equilibrium point
model chaos
economic growth
nonlinear
Potential Scenario
516
views
50
downloads
0
comments
1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.
dynamical systems
Potential Scenario
162
views
71
downloads
0
comments
1935 GFGause Article Predator Prey Oscillations
N/A
Lotka-Volterra
predator
paramecium
prey
cycle
oscillate
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