The study discusses the condition of existence all non-negative equilibrium points. There are 9 realistic points from constructed model. A local stable is obtained, a point that completely biologically feasible. analytical method on mathematically formed model limited, so numerical simulation also given to explore Numerical intervened in will show growth trajectories. tendency trajectories prey...

The cranial lateral line canal system of teleost fishes is morphologically diverse and is characterized by four patterns. One of these, widened lateral line canals, has evolved convergently in a wide range of teleosts, including the Lake Malawi peacock cichlids (Aulonocara), and has been attributed to its role in prey detection. The ability to study Aulonocara in the laboratory provides an oppo...

In this paper, maximum sustainable yield policy in prey-predator system is discussed where the prey population follows logistic law of growth. Here a model is proposed involving linear prey–predator interaction and intra-specific competition among predator populations. The growth rate of the predator depends upon predation on the modelled and alternate prey. In traditional prey–predator system,...

The presence of prey heterogeneity and weakly interacting prey species is frequently viewed as a stabilizer of predator-prey dynamics, countering the destabilizing effects of enrichment and reducing the amplitude of population cycles. However, prior model explorations have largely focused on long-term, dynamic attractors rather than transient dynamics. Recent theoretical work shows that the pre...

This article demonstrates how perceptual constraints of predators and the possibility that predators encounter prey both sequentially (one prey type at a time) and simultaneously (two or more prey types at a time) may influence the predator attack decisions, diet composition and functional response of a behavioural predator-prey system. Individuals of a predator species are assumed to forage op...

A ratio-dependent predator-prey model with strong Allee effect on prey is analyzed by making a parametric analysis of stability properties of dynamics on the system in which the functional response is a function of the ratio of prey to predator. It is shown that incorporating of Allee effect on prey equation significantly modifies the dynamics of the original system, as the modified model invol...

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.

In this paper, a predator-prey relationship in the presence of prey refuge was studied. The analysis dependence locally stable equilibrium points on parameters problem carried out. Bifurcation and limit cycles for model were analyzed to show dynamical behaviour system. results showed that system is at constant m = 0.3 harvesting rate H 0.3. However, increasing decreasing or vice versa, remains ...

This article deals with a 2 ? reaction-diffusion-taxis model consisting of Michaelis-Menten functional response predator-prey system. The critical section this is that temporal-spatial evolution the predators? velocity depends largely on gradient prey. But beyond that, system also inscribes prey-taxis mechanism an immediate movement predator u in to change prey v (which leads collection u). By ...