Results 31 to 40 of about 256 (115)
Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational and Mathematical Biophysics, 2023 In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
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Periodic solutions of a delayed predator‐prey model with stage structure for predator
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 255-270, 2004., 2004 A periodic time‐dependent Lotka‐Volterra‐type predator‐prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.
Rui Xu +2 more
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Computational and Mathematical Biophysics, 2021 Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has ...
Ananth V. S., Vamsi D. K. K.
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Existence and global stability of positive periodic solutions of a discrete delay competition system
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003 The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 64, Page 4057-4070, 2003., 2003 A delayed three‐species periodic food‐chain system with Holling type‐II functional response is investigated. By using Gaines and Mawhin′s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system.
Qiming Liu, Rui Xu
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Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
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Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
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Advances in Nonlinear Analysis, 2023 In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
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Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
Complexity, Volume 2025, Issue 1, 2025.The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously.
Ali Raza +6 more
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A semilinear transport equation with delays
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2011-2026, 2003., 2003 An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells.
Janet Dyson +2 more
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