On the Modeling of Population Dynamics of a Housefly using Eigenvalues and Eigenvectors


  • Eze Everestus Obinwanne Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Umuahia, Abia State
  • Obasi Uchenna Emmanuel


Population dynamics, Housefly, Eigenvalues and Eigenvectors, Fecundity, Leslie and Leftkovitch matrix model.


We considered the population dynamics of a housefly in well defined stages. We use  Leslie and  Leftkovitch  matrix models which  considered  eigenvalues  and eigenvectors  as the best  approach  in predicting the long- term stage growth of a  housefly  and the ways the  population structure of a  housefly  vary  over time.  The results obtained showed that it allows production   from eggs to adult ignored to determine the population structure. We concluded   that these approach were the best in determining the long- term stage growth of a housefly   when tested for growth and stable   stage structures


Ogbu, H.M, Apeh K.O, Udaya Ode and Eze E.O: the first order system of equations in a third order scalar differential equations with some agentvalues and agentvectors of some third order matrics differential equation, Devion Science company, journal of Nigeria Mathematical society Vol 7, Number 1, Dec 104-107 9 (2012).

Bernadelli, H’. Population waves J. Burma Res. Soc, 31:1-18 (1914).

Udaya, C.O. Eze, E.O. and Onyema, M.K. On the mathematical modelling of population dynamics and growth of Clarias Glarias in a pond ,10SR journal of mathematical Vol 9, pp 23-25 (2013).

Malthus. An essay on the principle of population in st Paul’s church –yards, London, UK (1798).

Eyo: Management of inland capture fisheries and challenges to fish production in Nigeria (2003).

Caswell, H, The Dynamics of plant population ecology 81:1675-1684 (2000).

Caswell, H, Matric population Modes, Construction Analysis and interpretation 2nd edition, the publishers S.L (2001).

Mackean, D.G.; Biology Teaching Resources, the housefly.

Http:www.biologyresources.com (2010).

Cochran and Ellner: simple method for calculating age base life history parameters for stage- structured population. (1992).

Watkinson and white: Some life-history conbsequences of modular contruction in plants. Lond 313:31-51 (1985).

Von Bertalamffy: Determination of the von Bertalanffy growth equation for three sliver hake stocks (1938).

Ehrlen, J: The dynamics of plant population ecology 81:1675-1684 (2000)

Pencuick: Modelling population Dynamic of Elephant –chez Sam. (1968).

John Maynard Smith: On the origin of life published on Dec. 4 2012 (2012)

Verma: Gene probes 1,

Gerda: website, www.google.com (2014)

Perom Frobenius: Theorem of Perom Frobeniustype for matrices

pp 494-495(1914)





How to Cite

Obinwanne, E. E., & Emmanuel, O. U. (2014). On the Modeling of Population Dynamics of a Housefly using Eigenvalues and Eigenvectors. Asian Journal of Applied Sciences, 2(6). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/1897