Stability and bifurcation analysis of a prey-predator model with Smith growth rate in presence of environmental toxins
About this article
Abstract
The aim of the present article is to formulate a prey-predator model by assuming that the preys inhabit in contaminated environments and undergo Smith growth rate instead of logistic growth rate. Stability and bifurcation phenomenon of the model have been analyzed with utmost care.
References
[1] Holling, C. S., The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomol. Soc.,Can.,97(1965), 05-60.
[2] Maiti, T., Mondal, B. and Sarkar, A., Dynamic Interplay: Cooperative hunting strategies in a predator-prey model with Smith growth dynamics, Brazilian J. Physics, 54(2024):82, 11pp.
[3] Mandal, A., Tiwari, P. K., and Pal, S., Impact of waarness on environmental toxins affecting plankton dynamics: A mathematical implication, J. Appl. Math. Comput., 66(2021), 369-395.
[4] Perko, L., Differential Equations and Dynamical Systems, Springer Verlag, 2013.
[5] Sivakumara, M., Sambath, M. and Balachandran, K., Stability and Hopf bifurcation analysis of a diffusive predator-prey model with Smith growth, Int. J. Biomath., 8(2015), 1550013.
View more references (2)
[6] Smith, F. E., Population dynamics in Daphina Magna and a new model for population growth, Ecology, 44(1963), 651-663.
[7] Times of India, August 4, 2024.