Model Eko-epidemiologi dengan Waktu Tunda, Mangsa Panen dan Penambahan Secara Konstan Mangsa Rentan

Meiky Riani - Student of Mathematics Department Universitas Negeri Padang, Indonesia
Muhammad Subhan - Lecturers of Mathematics Department Universitas Negeri Padang, Indonesia

Abstract


Abstract – In this article discussed eco-epidemiological with time delay, harvesting prey and addition constally suspectible prey. Eco-epidemiological is study the spread of infectious diseases in population in the interaction in an environment. Eco-epidemiological will be analyzed by finding the stability of fixed point. The model consist of tree differential equations. In this model the population is diveded into three parts suspectible prey, infectious prey and predator. The model have four fixed points. Those are extinction , axial , infected prey extinction or disease free  and the coexistence between prey and predator .

Keywords – Eco-epidemiological , Predator-prey,Time Delay,Fixed Point


Full Text:

PDF

References


Boyce, W.E. dan DiPrima, R.C. (1999). ODE Architec Companion. New York :John Willey&Sons, Inc.

Sahoo, B. (2015). Role of Additional Food in Eco-epidemiological Systemwith Diseasein the Prey, Applieed Mathematicsand Computation, Vol 259 page 61- 79.

Johri, A., Trivedi, N., Sisodiya, A., Sing, B., & Jain, S. (2012). Study of a prey-predator model with diseased prey. Int. J. Contemp. Math. Sciences, 7(10), 489-498.

Sharma, S., & Samanta, G.P. (2015). Analytic of a two prey one predator system with disease in the first prey population, Int. J. Dyn. Control 3(3), 210-224

Zhang, J.S.,& Sun, S.L. (2005). Analysis of eco-epidemiological model with epidemic in the predator, J. Biomath. 20(2),157-164.

Kant, S., & Kumar, V. (2017). Stability analysis of predator–prey system with migrating prey and disease infection in both species. Applied Mathematical Modelling, 42, 509-539.

Hu, G.P.,& Li, X.L. (2012). Stability and Hopf bifurcation for a delayed predator-prey model with disease in theprey.Chaos Soiton Fractals 45(3), 229-237.

Xu, R., & Zhang, S. (2013). Modelling and analysis of a delayed predator–prey model with disease in the predator. Applied Mathematics and Computation, 224, 372-386.

Zhou, X., Shi, X., & Song, X. (2009). Analysis of a delay prey-predator model with disease in the prey species only. Journal of the Korean Mathematical Society, 46(4), 713-731.

Johri, A., Trivedi, N., Sisodiya, A., Sing, B., & Jain, S. (2012). Study of a prey-predator model with diseased prey. Int. J. Contemp. Math. Sciences, 7(10), 489-498.

Merkin. D.R.( 1997). Introduction to the Teory Stability. Springer,NewYork.




DOI: http://dx.doi.org/10.24036/unpjomath.v4i2.6318