A modified Leslie–Gower predator–prey model with alternative food and selective predation of noninfected prey

Bortuli, Altemir; Maidana, Norberto Aníbal

doi:10.1002/mma.6952

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…type (see [1]) and so it considers implicitly that there exists competition or self-interference between the predators. The Leslie-Gower model has been studied from many points of view, see for instance the recent papers [5,6,7,8,10,11,12,19,20,21,22,23,26,27,28,29,30,31,32,33]. As far as we know there are no results concerning the characterization of its global dynamics taking into account the orbits which come or scape at infinity.…”

Section: Introduction and Statement Of The Main Resultsmentioning

confidence: 99%

Phase Portraits of the Leslie-Gower System

Llibre

Valls²

2022

Acta Math Sci

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In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e. in the compactification of R 2 adding the circle S 1 of the infinity) modulo topological equivalence.It is well-known that the equilibrium point of the Leslie-Gower model in the interior of the positive quadrant is a global attractor in this open quadrant, and in this paper we characterize where the orbits attracted by this equilibrium born.

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Section: Introduction and Statement Of The Main Resultsmentioning

confidence: 99%

Phase Portraits of the Leslie-Gower System

Llibre

Valls²

2022

Acta Math Sci

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“…Bortuli et al proposed a prey predator interaction mathematical model that divides prey populations into susceptible and infected categories to address the issue of predator selection of susceptible prey leading to population extinction. The different biological characteristics of the model were determined through numerical simulation and the analysis results were verified [15].…”

Section: Related Workmentioning

confidence: 99%

Big Data Multi-Strategy Predator Algorithm for Passenger Flow Prediction

Guo

2024

ijacsa

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Faced with the rapidly recovering tourism market, accurate prediction of passenger flow can help local authorities achieve more effective resource regulation. Therefore, based on big data technology, a multi-strategy predator algorithm is proposed, which uses the Marine Predator Algorithm, combined with regularized extreme learning machines and Collaborative Filtering Algorithms, to achieve accurate passenger flow prediction. The experiment findings denote that the performance parameters of the algorithm are excellent, with extremely strong convergence performance, and only 30 iterations are needed to reach the optimal solution. The fitting degree of this algorithm is 97.8%, which is 6.27% -19.31% higher than that of long and shortterm memory networks, random forest algorithms, and support vector machine regression. In actual passenger flow prediction, the error rate of this algorithm is only 2.29%, which is 3.47% -6.50% higher than the three comparison algorithms. This study provides a new and efficient prediction method for passenger flow prediction. Its excellent predictive performance can not only help relevant departments predict and manage passenger traffic more accurately, but also provide reference for traffic prediction in other fields. Overall, this study has important reference value and practical significance for the research and practice of passenger flow prediction.

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Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food

Yang

Wang

Jin

2022

Math Methods in App Sciences

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The nonlocal competition in prey is incorporated into a diffusive predator-prey model with additional food in predator and time delay. The local stability of the coexisting equilibrium is studied by analyzing the eigenvalue spectrum. Time delay inducing Hopf bifurcation is also investigated by using time delay as bifurcation parameter. Some conditions for determining the bifurcation direction and the stability of the bifurcating periodic solutions are given by utilizing the normal form method and center manifold theorem. Our results suggest that nonlocal competition together with time delay can induce spatially inhomogeneous bifurcating periodic solutions in the diffusive predator-prey model.

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A modified Leslie–Gower predator–prey model with alternative food and selective predation of noninfected prey

Cited by 3 publications

References 25 publications

Phase Portraits of the Leslie-Gower System

Phase Portraits of the Leslie-Gower System

Big Data Multi-Strategy Predator Algorithm for Passenger Flow Prediction

Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food

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