Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect

Abstract

This paper considers an eco-epidemiological model with disease in the prey population. The disease in the prey divides the total prey population into two subclasses, susceptible prey and infected prey. The model also incorporates fear of predator that reduces the growth rate of the prey population. Furthermore, fear of predator lowers the activity of the prey population, which reduces the disease transmission. The model is well-posed with bounded solutions. It has an extinction equilibrium, susceptible prey equilibrium, susceptible prey-predator equilibrium, and coexistence equilibria. Conditions for local stability of equilibria are established. The model exhibits fear-induced backward bifurcation and bistability. Extensive numerical simulations show the presence of oscillations and occurrence of chaos due to fear induced lower disease transmission in the prey population.

Buried in the sand: Uncovering the ecological roles and importance of rays

“…habitat shifts) in order to gain a thorough understanding of how risk effects may cascade through ecosystems (Table 3). Mathematical predictions suggest that risk effects can stabilize prey populations, promote predator–prey coexistence and reduce the spread of disease in prey populations (Sarkar & Khajanchi, 2020; Sha, Samanta, Martcheva, & Chattopadhyay, 2019). Prey with high growth rates may also be less sensitive to risk effects (Sarkar & Khajanchi, 2020).…”

A fractional model in exploring the role of fear in mass mortality of pelicans in the Salton Sea

“…Pal investigated a modified Lesli-Gower eco-epidemiological model with fear effect in prey [47] and observed that an increase in the fear coefficient stabilizes the system dynamics. In [49], Sha et al investigated an ecoepidemiological model with disease in the prey. They assumed that the induced fear also reduces disease transmission along with reproduction and obtained fear-induced backward bifurcation and bi-stability.…”

Analisis Kestabilan Model Predator-Prey dengan Infeksi Penyakit pada Prey dan Pemanenan Proporsional pada Predator

“…Model yang diangkat pada artikel ini merupakan gabungan kajian dari model Ekologi dan model Epidemiologi yang disebut dengan model Eko-epidemiologi. Beberapa peneliti telah mempelajari model eko-epidemiologi seperti pada [1,[15][16][17][18][19][20][21]. Artikel ini mempelajari model yang serupa dengan model dalam penelitian Panigoro dkk.…”