Persistence of two prey-one predator system with ratio-dependent predator influence

Ecological perspective of the diversity of functional responses

“…Here, the prey do not compete and predation follows the density gradient of prey. Kesh et al (2000) propose a two-prey and one-predator species…”

Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay

“…There have also been many studies of the asymptotical behavior of specific predator-prey models, such as the ODE models [15,18,33], DDE models [20], and reaction-diffusion models without time delays [4,25,39] or with time delays [10,31,35,40] as well as models with spatial structure. However, biological phenomena are not easy to describe using mathematical models because of the complexity of nature [23].…”

Modelling the Multiteam Prey–predator Dynamics Using the Delay Differential Equation

“…Numerous applied mathematicians and ecologists have increasingly focused on the predator-prey relationship because of its generality and significance. Several complicated models for two or more interacting species systems have been developed considering the effects of crowding, age structure, time delay, functional response, switching, and other factors (Kesh et al, 2000;Vayenas et al, 2005;Song et al, 2006;Kundu et al, 2018;Kumar et al, 2022).…”

“…A study identified the necessary criteria for all species to survive indefinitely and determined the condition when species becomes extinct in the system (Kesh et al 2000). By utilising a stochastic logistic differential equation that calculates ecosystem function, a study examined the longterm unexpected behaviour of the at-risk group (Grasman et al, 2001).…”