Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species

Das, B. K.; Sahoo, Debgopal; Samanta, G. P.

doi:10.1016/j.matcom.2021.08.005

Cited by 41 publications

(6 citation statements)

References 38 publications

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“…The research results show that prey plays an important role in transmission, because prey is still the main food for predators. Other studies that use prey as a model variable that transmits disease provide different characteristics (Das et al, 2022)(Arancibia-ibarra et al, 2021. The results of this research reveal that prey with disease do not always play a significant role in disease transmission.…”

Section: A Introductionmentioning

confidence: 79%

Dynamical of Prey Refuge in a Diased Predator-Prey Model with Intraspecific Competition for Predator

Pratama

2024

JTAM

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The predator-prey model described is a population growth model of an eco-epidemiological system with prey protection and predator intraspecific traits. Predation interactions in predator species use response functions. The aim of this research is to examine the local stable balance point and look at the characteristics of species resulting from mathematical modeling interventions. Review of balance point analysis, numerical simulation and analysis of given trajectories. The research results show the shape of the model which is arranged with a composition of 5 balance points. There is one rational balance point to be explained, using the Routh-Hurwitz criterion, . The characteristic equation and associated eigenvalues in the mathematical model are the local asymptotically stable balance points. In the trajectory analysis, local stability is also shown by the model formed. There are differences for each population to reach its point of stability. The role of prey protection behavior is very effective in suppressing the spread of disease. Meanwhile, intraspecific predator interactions are able to balance the decreasing growth of prey populations. If we increase the intraspecific interaction coefficient, we can be sure that the growth of the prey population will both increase significantly. When the number of prey populations increases significantly, of course disease transmission and prey protection become determining factors, the continuation of the model in exosite interactions. In prey populations and susceptible prey to infection, growth does not require a long time compared to the growth of predator populations. The time required to achieve stable growth is rapid for the prey species. Although prey species' growth is more fluctuating compared to predator populations. Predatory species are more likely to be stable from the start of their growth. The significance of predatory growth is only at the beginning of growth, while after that it increases slowly and reaches an ideal equilibrium point. Each species has its own characteristics, so extensive studies are needed on more complex forms of response functions in further research.

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Section: A Introductionmentioning

confidence: 79%

Dynamical of Prey Refuge in a Diased Predator-Prey Model with Intraspecific Competition for Predator

Pratama

2024

JTAM

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“…In recent years, a group of academics have focused a great deal of emphasis on the dynamics behaviors of he predator-prey and many predator-prey models have been thoroughly investigated(see [1][2][3]). The environmental carrying capacity in traditional predator-prey models is typically thought to be a set amount.…”

Section: Introductionmentioning

confidence: 99%

Periodic solution of a periodic prey-predator model with variable carrying capacity

Yang

Guo

2023

International Conference on Pure, Applied, and Computational Mathematics (PACM 2023)

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Commonly, it is assumed that the carrying capacity is constant in the conventional predator-prey model. In contrast, we investigate a predator-prey scenario which have a common prey in this work, the carrying capacity of the predator and the prey are variables changing with the amount of common prey which consumed by both predator and prey. We were able to establish the necessary requirements in favor of asymptotic stability globally and uniqueness of periodic solutions.

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“…In reality, when the population size or density increases to a certain level, the population death rate depends on the population size or density rather than invariable due to intraspecific and interspecific interference, especially the competition for the living space and food. Thereby, of this ecological phenomenon, the well-known density-dependent mortality was proposed [28,29], which is also called intraspecific competition [30]. Although there have been some studies on the effect of density-dependent mortality on the dynamics of the predator-prey system; it is not enough.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis in a predator–prey model with strong Allee effect on prey and density‐dependent mortality of predator

Shang,

Qiao

2023

Math Methods in App Sciences

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The influences of Allee effect and density‐dependent mortality on population growth are of great significance in ecology. In this paper, we first consider a Gause‐type predator–prey model with simplified Holling type IV functional response, strong Allee effect on prey, and density‐dependent mortality of predator. It is shown that the system exhibits rich and complex dynamics like bistability, local and global bifurcations such as transcritical bifurcation, saddle‐node bifurcation, Hopf bifurcation, cusp bifurcation, Bogdanov–Takens bifurcation, Bautin bifurcation, homoclinic bifurcation, saddle‐node bifurcation of limit cycle, and heteroclinic bifurcation. Next, we separately explore the influences of Allee effect and density‐dependent mortality on the dynamics of the same model. The results show that the strong Allee effect induces the occurrence of heteroclinic bifurcation and the reduction of the number of limit cycles, while the density‐dependent mortality stabilizes the system. Since the analytical expressions of the interior equilibria are difficult to derive, the results are verified numerically.

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Impact of fear in a delay-induced predator–prey system with intraspecific competition within predator species

Cited by 41 publications

References 38 publications

Dynamical of Prey Refuge in a Diased Predator-Prey Model with Intraspecific Competition for Predator

Dynamical of Prey Refuge in a Diased Predator-Prey Model with Intraspecific Competition for Predator

Periodic solution of a periodic prey-predator model with variable carrying capacity

Bifurcation analysis in a predator–prey model with strong Allee effect on prey and density‐dependent mortality of predator

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