
2014MurilloEtAlVertical Transmission In Two Strain Model Of Dengue Fever
08 Sep 2017
Murillo, David , Susan A. Holechek, Anarina L. Murillo, Fabio Sanchez, and Carlos CastilloChavez. 2014. Vertical Transmission in a TwoStrain Model of Dengue Fever. Letters in Biomathematics.1(2): 249271,ABSTRACT: The role of vertical transmission in vectors has rarely been...

2012NokkaewEtAlEstimation Of Algae Growth Mode lParameters Using Genetic Algorithm
08 Sep 2017
Nokkaew, A. Et Al. Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm. WSEAS TRANSACTIONS on COMPUTERS. 11(11): 377386. http://www.wseas.org/multimedia/journals/computers/2012/56122.pdf . Accessed 7 September 2017.ABSTRACT: This paper presents a double layer genetic...

2012YuanCoupled Plankton System With Instantaneous And Delayed Predation
08 Sep 2017
Yuan, Yuan. 2012. A coupled plankton system with instantaneous and delayed predation. Journal of Biological Dynamics. 6(2): 148165We present two simple plankton population models: one has instantaneous predation, another has delayed predation. The models consist of two coupled differential...

2012IngallsMathematical Modeling In Systems Biology Text
08 Sep 2017
Ingalls, Brian. 2012. Mathematical Modelling in Systems Biology: An Introduction. pp. 396. Notes. https://www.math.uwaterloo.ca/~bingalls/MMSB/Notes.pdf . Accessed 7 September 2017.This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and...

2011WoodSquigonometry
08 Sep 2017
Wood, W. 2011. Squigonometry. Mathematics Magazine. 84(4): 257265.The differential equations used to define a unit circle, namely x’(t) =  y(t), y’(t) = (t), x(0) =...

2009ReidKingPendulumMotion
08 Sep 2017
Reid, Thomas F. and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205217,Abstract: A common example of realworld motion that can be modeled by a differential equation, and one easily...

2003YildinMackeyLactoseOperonModeling
08 Sep 2017
Yildirim, Necmettin and Michael C. Mackey. 2003. Feedback Regulation in the Lactose Operon: A Mathematical Modeling Study and Comparison with Experimental Data. Biophysical Journal. 84: 2841–2851. ABSTRACT A mathematical model for the regulation of induction in...

2003FayGrahamCoupledSpringEquations
08 Sep 2017
Fay, T.H. and S. D. Graham. 2003. Coupled spring equations. Int.J. Math. Educ. Sci. Technol. 34(1): 6579. ABSTRACT Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described. For the linear model...

2004ThomasJonesMath Model For Debriding Wound
08 Sep 2017
Jones, M. and D. Thomas. Controlling wound healing through debridement. Preprint. Abstract. The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound...

1967Isrealsson JohnssonCircumnutations In Helianthus Annuus
08 Sep 2017
Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus. Physiologia Plantarum. 20: 957976.Abstract:“A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.“The...

1969JohnssonIsraelssonPhase Shift In Geotropical Oscillations
08 Sep 2017
Israelsson, D. and A. Johnsson. 1969. Phaseshift in Geotropic Oscillations a Theoretical and Experimental Study. Physiologia Plantarum. 22: 12261237.The paper studies geotropical induced phaseshifts in circumnutations (turning) of Helianthus annus hypocotlys. Theory based on...

2008HELMApplications Of Differential Equations Chapter19
08 Sep 2017
HELM  University of Southampton. 2008. Applications of Differential Equations. Chapter 19.https://nile.northampton.ac.uk/bbcswebdav/courses/CFAP02R/Guest%20access%20files/HELM_new/pages/workbooks_1_50_jan2008/Workbook19/19_1_modling_with_diffrntl_eqns.pdf . Accessed 5 September 2017.The sections...

2001ChengTeachingMathematicalModeling
08 Sep 2017
Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools. The Mathematics Educator. 6(1): 6375. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...

2006WilenskyReismanThink Like Wolf Sheep Firefly
08 Sep 2017
Wilensky, U. and K. Reisman. 2006. Thinking Like a Wolf, a Sheep, or a Firefly: Learning Biology Through Constructing and Testing Computational Theoriesan Embodied Modeling Approach. Cognition Instruction. 24(2): 171209.Abstract:Biological phenomena can be investigated at multiple...

2008RibbingEtAlModels Of Diabetes Progression
08 Sep 2017
Ribbing, J., A. De Gaetano, T.Hardy , B. Beck, E. AbuRaddad, P. Palumbo, J. BueValleskey, and N. Pørksen. 2008. Mathematical models of diabetes progression. Am J Physiol Endocrinol Metab. 295: E1462–E1479.Abstract: Few attempts have been made to model mathematically the...

1994McDillFelsagerLighterSideOfDiffEq
08 Sep 2017
McDill, J. M. and Bjorn Felsager. 1994. The Lighter Side of Differential Equations. The College Mathematics Journal. 25(2): 448452.First opening material in article,“Although differential equations have many serious applications to the modeling of realworld problems, a few...

1994DavisAskingGoodQuestionsAboutDEs
07 Sep 2017
Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5): 394400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

1991KotiahDifference Differential Equations Finance
07 Sep 2017
Kotiah, Thoddi C. T. 1991. Difference and differential equations in the mathematics of finance. International Journal of Mathematical Education in Science and Technology, 22(5): 783789.Abstract: Many problems arising in the mathematics of finance involve identical money flows at regular...

1981NielsenRosenfeld Interpretations Of DE Models
07 Sep 2017
Nielsen, François and Rachel A. Rosenfeld. 1981. Substantive Interpretations of Differential Equation Models. Sociological Review. 46(2): 159174.Abstract: The use of differential equations models to study social processes has been increasing rapidly. There are, however,...

1975BurghesPopulationDynamics
07 Sep 2017
Burghes, David N. 1975. Population dynamics An introduction to differential equations. International Journal of Mathematical Education in Science and Technology. 6(3): 265276.Abstract: In this paper a number of population models, which lead to differential equations, are derived....