
Previous Article
Complex dynamics of a simple epidemic model with a nonlinear incidence
 DCDSB Home
 This Issue

Next Article
The dynamics of bacterial infection, innate immune response, and antibiotic treatment
Allee effects in a discretetime hostparasitoid model with stage structure in the host
1.  Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504 
[1] 
Eduardo Liz, Alfonso RuizHerrera. Delayed population models with Allee effects and exploitation. Mathematical Biosciences & Engineering, 2015, 12 (1) : 8397. doi: 10.3934/mbe.2015.12.83 
[2] 
Miljana JovanoviĆ, Marija KrstiĆ. Extinction in stochastic predatorprey population model with Allee effect on prey. Discrete and Continuous Dynamical Systems  B, 2017, 22 (7) : 26512667. doi: 10.3934/dcdsb.2017129 
[3] 
Sophia R.J. Jang. Allee effects in an iteroparous host population and in hostparasitoid interactions. Discrete and Continuous Dynamical Systems  B, 2011, 15 (1) : 113135. doi: 10.3934/dcdsb.2011.15.113 
[4] 
Nika Lazaryan, Hassan Sedaghat. Extinction and the Allee effect in an age structured Ricker population model with interstage interaction. Discrete and Continuous Dynamical Systems  B, 2018, 23 (2) : 731747. doi: 10.3934/dcdsb.2018040 
[5] 
Jia Li. Modeling of mosquitoes with dominant or recessive Transgenes and Allee effects. Mathematical Biosciences & Engineering, 2010, 7 (1) : 99121. doi: 10.3934/mbe.2010.7.99 
[6] 
Erika T. Camacho, Christopher M. KribsZaleta, Stephen Wirkus. Metering effects in population systems. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 13651379. doi: 10.3934/mbe.2013.10.1365 
[7] 
Jim M. Cushing. The evolutionary dynamics of a population model with a strong Allee effect. Mathematical Biosciences & Engineering, 2015, 12 (4) : 643660. doi: 10.3934/mbe.2015.12.643 
[8] 
Dianmo Li, Zhen Zhang, Zufei Ma, Baoyu Xie, Rui Wang. Allee effect and a catastrophe model of population dynamics. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 629634. doi: 10.3934/dcdsb.2004.4.629 
[9] 
Wen Jin, Horst R. Thieme. An extinction/persistence threshold for sexually reproducing populations: The cone spectral radius. Discrete and Continuous Dynamical Systems  B, 2016, 21 (2) : 447470. doi: 10.3934/dcdsb.2016.21.447 
[10] 
J. Leonel Rocha, Danièle FournierPrunaret, AbdelKaddous Taha. Strong and weak Allee effects and chaotic dynamics in Richards' growths. Discrete and Continuous Dynamical Systems  B, 2013, 18 (9) : 23972425. doi: 10.3934/dcdsb.2013.18.2397 
[11] 
Sophia R.J. Jang. Discrete hostparasitoid models with Allee effects and age structure in the host. Mathematical Biosciences & Engineering, 2010, 7 (1) : 6781. doi: 10.3934/mbe.2010.7.67 
[12] 
Yongli Cai, Malay Banerjee, Yun Kang, Weiming Wang. Spatiotemporal complexity in a predatorprey model with weak Allee effects. Mathematical Biosciences & Engineering, 2014, 11 (6) : 12471274. doi: 10.3934/mbe.2014.11.1247 
[13] 
Yun Kang, Sourav Kumar Sasmal, Amiya Ranjan Bhowmick, Joydev Chattopadhyay. Dynamics of a predatorprey system with prey subject to Allee effects and disease. Mathematical Biosciences & Engineering, 2014, 11 (4) : 877918. doi: 10.3934/mbe.2014.11.877 
[14] 
J. Leonel Rocha, AbdelKaddous Taha, Danièle FournierPrunaret. Explosion birth and extinction: Double big bang bifurcations and Allee effect in TsoularisWallace's growth models. Discrete and Continuous Dynamical Systems  B, 2015, 20 (9) : 31313163. doi: 10.3934/dcdsb.2015.20.3131 
[15] 
Pengmiao Hao, Xuechen Wang, Junjie Wei. Global Hopf bifurcation of a population model with stage structure and strong Allee effect. Discrete and Continuous Dynamical Systems  S, 2017, 10 (5) : 973993. doi: 10.3934/dcdss.2017051 
[16] 
Keng Deng, Yixiang Wu. Extinction and uniform strong persistence of a sizestructured population model. Discrete and Continuous Dynamical Systems  B, 2017, 22 (3) : 831840. doi: 10.3934/dcdsb.2017041 
[17] 
Edoardo Beretta, Dimitri Breda. Discrete or distributed delay? Effects on stability of population growth. Mathematical Biosciences & Engineering, 2016, 13 (1) : 1941. doi: 10.3934/mbe.2016.13.19 
[18] 
Ling Xue, Caterina Scoglio. Networklevel reproduction number and extinction threshold for vectorborne diseases. Mathematical Biosciences & Engineering, 2015, 12 (3) : 565584. doi: 10.3934/mbe.2015.12.565 
[19] 
DongMei Zhu, WaiKi Ching, Robert J. Elliott, TakKuen Siu, Lianmin Zhang. Hidden Markov models with threshold effects and their applications to oil price forecasting. Journal of Industrial and Management Optimization, 2017, 13 (2) : 757773. doi: 10.3934/jimo.2016045 
[20] 
Yanan Zhao, Daqing Jiang, Xuerong Mao, Alison Gray. The threshold of a stochastic SIRS epidemic model in a population with varying size. Discrete and Continuous Dynamical Systems  B, 2015, 20 (4) : 12771295. doi: 10.3934/dcdsb.2015.20.1277 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]