Bifurcation

Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-020-02971-9)

Chaos

Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-020-02971-9)

global stability

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

impulsive set

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

integrated pest management

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

Nonlinear impulsive

Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-020-02971-9)

Nontrivial periodic solution

Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-020-02971-9)

phase set

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

planar impulsive semi-dynamical system

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

Poincaré map

Tang, Sanyi, Pang, Wenhong, Cheke, Robert ORCID: https://orcid.org/0000-0002-7437-1934 and Wu, Jianhong (2015) Global dynamics of a state-dependent feedback control system. Advances in Difference Equations:322. pp. 1-70. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-015-0661-x)

Threshold condition

Li, Changtong, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2020) Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. Advances in Difference Equations:514. pp. 1-23. ISSN 1687-1839 (Print), 1687-1847 (Online) (doi:10.1186/s13662-020-02971-9)